restricted divisors of the first 1000 positive integers

restricted divisors of the first 1000 positive integers

In the table below, the

proper divisors

(or restricted divisors) of the first thousand

positive integers

are listed in the right column. That is, given

divisors

1

,

d

2

,

…

,

d

k

-

1

,

n

, with

k

being the total number of divisors and

d

k

=

n

, only

d

2

through

d

k

-

1

are listed in the table below.

n

Divisors

1

<

d

<

n

1

None

2

None

3

None

4

2

5

None

6

2, 3

7

None

8

2, 4

9

3

10

2, 5

11

None

12

2, 3, 4, 6

13

None

14

2, 7

15

3, 5

16

2, 4, 8

17

None

18

2, 3, 6, 9

19

None

20

2, 4, 5, 10

21

3, 7

22

2, 11

23

None

24

2, 3, 4, 6, 8, 12

25

5

26

2, 13

27

3, 9

28

2, 4, 7, 14

29

None

30

2, 3, 5, 6, 10, 15

31

None

32

2, 4, 8, 16

33

3, 11

34

2, 17

35

5, 7

36

2, 3, 4, 6, 9, 12, 18

37

None

38

2, 19

39

3, 13

40

2, 4, 5, 8, 10, 20

41

None

42

2, 3, 6, 7, 14, 21

43

None

44

2, 4, 11, 22

45

3, 5, 9, 15

46

2, 23

47

None

48

2, 3, 4, 6, 8, 12, 16, 24

49

7

50

2, 5, 10, 25

51

3, 17

52

2, 4, 13, 26

53

None

54

2, 3, 6, 9, 18, 27

55

5, 11

56

2, 4, 7, 8, 14, 28

57

3, 19

58

2, 29

59

None

60

2, 3, 4, 5, 6, 10, 12, 15, 20, 30

61

None

62

2, 31

63

3, 7, 9, 21

64

2, 4, 8, 16, 32

65

5, 13

66

2, 3, 6, 11, 22, 33

67

None

68

2, 4, 17, 34

69

3, 23

70

2, 5, 7, 10, 14, 35

71

None

72

2, 3, 4, 6, 8, 9, 12, 18, 24, 36

73

None

74

2, 37

75

3, 5, 15, 25

76

2, 4, 19, 38

77

7, 11

78

2, 3, 6, 13, 26, 39

79

None

80

2, 4, 5, 8, 10, 16, 20, 40

81

3, 9, 27

82

2, 41

83

None

84

2, 3, 4, 6, 7, 12, 14, 21, 28, 42

85

5, 17

86

2, 43

87

3, 29

88

2, 4, 8, 11, 22, 44

89

None

90

2, 3, 5, 6, 9, 10, 15, 18, 30, 45

91

7, 13

92

2, 4, 23, 46

93

3, 31

94

2, 47

95

5, 19

96

2, 3, 4, 6, 8, 12, 16, 24, 32, 48

97

None

98

2, 7, 14, 49

99

3, 9, 11, 33

100

2, 4, 5, 10, 20, 25, 50

101

None

102

2, 3, 6, 17, 34, 51

103

None

104

2, 4, 8, 13, 26, 52

105

3, 5, 7, 15, 21, 35

106

2, 53

107

None

108

2, 3, 4, 6, 9, 12, 18, 27, 36, 54

109

None

110

2, 5, 10, 11, 22, 55

111

3, 37

112

2, 4, 7, 8, 14, 16, 28, 56

113

None

114

2, 3, 6, 19, 38, 57

115

5, 23

116

2, 4, 29, 58

117

3, 9, 13, 39

118

2, 59

119

7, 17

120

2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60

121

11

122

2, 61

123

3, 41

124

2, 4, 31, 62

125

5, 25

126

2, 3, 6, 7, 9, 14, 18, 21, 42, 63

127

None

128

2, 4, 8, 16, 32, 64

129

3, 43

130

2, 5, 10, 13, 26, 65

131

None

132

2, 3, 4, 6, 11, 12, 22, 33, 44, 66

133

7, 19

134

2, 67

135

3, 5, 9, 15, 27, 45

136

2, 4, 8, 17, 34, 68

137

None

138

2, 3, 6, 23, 46, 69

139

None

140

2, 4, 5, 7, 10, 14, 20, 28, 35, 70

141

3, 47

142

2, 71

143

11, 13

144

2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72

145

5, 29

146

2, 73

147

3, 7, 21, 49

148

2, 4, 37, 74

149

None

150

2, 3, 5, 6, 10, 15, 25, 30, 50, 75

151

None

152

2, 4, 8, 19, 38, 76

153

3, 9, 17, 51

154

2, 7, 11, 14, 22, 77

155

5, 31

156

2, 3, 4, 6, 12, 13, 26, 39, 52, 78

157

None

158

2, 79

159

3, 53

160

2, 4, 5, 8, 10, 16, 20, 32, 40, 80

161

7, 23

162

2, 3, 6, 9, 18, 27, 54, 81

163

None

164

2, 4, 41, 82

165

3, 5, 11, 15, 33, 55

166

2, 83

167

None

168

2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84

169

13

170

2, 5, 10, 17, 34, 85

171

3, 9, 19, 57

172

2, 4, 43, 86

173

None

174

2, 3, 6, 29, 58, 87

175

5, 7, 25, 35

176

2, 4, 8, 11, 16, 22, 44, 88

177

3, 59

178

2, 89

179

None

180

2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90

181

None

182

2, 7, 13, 14, 26, 91

183

3, 61

184

2, 4, 8, 23, 46, 92

185

5, 37

186

2, 3, 6, 31, 62, 93

187

11, 17

188

2, 4, 47, 94

189

3, 7, 9, 21, 27, 63

190

2, 5, 10, 19, 38, 95

191

None

192

2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96

193

None

194

2, 97

195

3, 5, 13, 15, 39, 65

196

2, 4, 7, 14, 28, 49, 98

197

None

198

2, 3, 6, 9, 11, 18, 22, 33, 66, 99

199

None

200

2, 4, 5, 8, 10, 20, 25, 40, 50, 100

201

3, 67

202

2, 101

203

7, 29

204

2, 3, 4, 6, 12, 17, 34, 51, 68, 102

205

5, 41

206

2, 103

207

3, 9, 23, 69

208

2, 4, 8, 13, 16, 26, 52, 104

209

11, 19

210

2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105

211

None

212

2, 4, 53, 106

213

3, 71

214

2, 107

215

5, 43

216

2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108

217

7, 31

218

2, 109

219

3, 73

220

2, 4, 5, 10, 11, 20, 22, 44, 55, 110

221

13, 17

222

2, 3, 6, 37, 74, 111

223

None

224

2, 4, 7, 8, 14, 16, 28, 32, 56, 112

225

3, 5, 9, 15, 25, 45, 75

226

2, 113

227

None

228

2, 3, 4, 6, 12, 19, 38, 57, 76, 114

229

None

230

2, 5, 10, 23, 46, 115

231

3, 7, 11, 21, 33, 77

232

2, 4, 8, 29, 58, 116

233

None

234

2, 3, 6, 9, 13, 18, 26, 39, 78, 117

235

5, 47

236

2, 4, 59, 118

237

3, 79

238

2, 7, 14, 17, 34, 119

239

None

240

2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120

241

None

242

2, 11, 22, 121

243

3, 9, 27, 81

244

2, 4, 61, 122

245

5, 7, 35, 49

246

2, 3, 6, 41, 82, 123

247

13, 19

248

2, 4, 8, 31, 62, 124

249

3, 83

250

2, 5, 10, 25, 50, 125

251

None

252

2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126

253

11, 23

254

2, 127

255

3, 5, 15, 17, 51, 85

256

2, 4, 8, 16, 32, 64, 128

257

None

258

2, 3, 6, 43, 86, 129

259

7, 37

260

2, 4, 5, 10, 13, 20, 26, 52, 65, 130

261

3, 9, 29, 87

262

2, 131

263

None

264

2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132

265

5, 53

266

2, 7, 14, 19, 38, 133

267

3, 89

268

2, 4, 67, 134

269

None

270

2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135

271

None

272

2, 4, 8, 16, 17, 34, 68, 136

273

3, 7, 13, 21, 39, 91

274

2, 137

275

5, 11, 25, 55

276

2, 3, 4, 6, 12, 23, 46, 69, 92, 138

277

None

278

2, 139

279

3, 9, 31, 93

280

2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140

281

None

282

2, 3, 6, 47, 94, 141

283

None

284

2, 4, 71, 142

285

3, 5, 15, 19, 57, 95

286

2, 11, 13, 22, 26, 143

287

7, 41

288

2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144

289

17

290

2, 5, 10, 29, 58, 145

291

3, 97

292

2, 4, 73, 146

293

None

294

2, 3, 6, 7, 14, 21, 42, 49, 98, 147

295

5, 59

296

2, 4, 8, 37, 74, 148

297

3, 9, 11, 27, 33, 99

298

2, 149

299

13, 23

300

2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150

301

7, 43

302

2, 151

303

3, 101

304

2, 4, 8, 16, 19, 38, 76, 152

305

5, 61

306

2, 3, 6, 9, 17, 18, 34, 51, 102, 153

307

None

308

2, 4, 7, 11, 14, 22, 28, 44, 77, 154

309

3, 103

310

2, 5, 10, 31, 62, 155

311

None

312

2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156

313

None

314

2, 157

315

3, 5, 7, 9, 15, 21, 35, 45, 63, 105

316

2, 4, 79, 158

317

None

318

2, 3, 6, 53, 106, 159

319

11, 29

320

2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160

321

3, 107

322

2, 7, 14, 23, 46, 161

323

17, 19

324

2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162

325

5, 13, 25, 65

326

2, 163

327

3, 109

328

2, 4, 8, 41, 82, 164

329

7, 47

330

2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165

331

None

332

2, 4, 83, 166

333

3, 9, 37, 111

334

2, 167

335

5, 67

336

2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168

337

None

338

2, 13, 26, 169

339

3, 113

340

2, 4, 5, 10, 17, 20, 34, 68, 85, 170

341

11, 31

342

2, 3, 6, 9, 18, 19, 38, 57, 114, 171

343

7, 49

344

2, 4, 8, 43, 86, 172

345

3, 5, 15, 23, 69, 115

346

2, 173

347

None

348

2, 3, 4, 6, 12, 29, 58, 87, 116, 174

349

None

350

2, 5, 7, 10, 14, 25, 35, 50, 70, 175

351

3, 9, 13, 27, 39, 117

352

2, 4, 8, 11, 16, 22, 32, 44, 88, 176

353

None

354

2, 3, 6, 59, 118, 177

355

5, 71

356

2, 4, 89, 178

357

3, 7, 17, 21, 51, 119

358

2, 179

359

None

360

2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180

361

19

362

2, 181

363

3, 11, 33, 121

364

2, 4, 7, 13, 14, 26, 28, 52, 91, 182

365

5, 73

366

2, 3, 6, 61, 122, 183

367

None

368

2, 4, 8, 16, 23, 46, 92, 184

369

3, 9, 41, 123

370

2, 5, 10, 37, 74, 185

371

7, 53

372

2, 3, 4, 6, 12, 31, 62, 93, 124, 186

373

None

374

2, 11, 17, 22, 34, 187

375

3, 5, 15, 25, 75, 125

376

2, 4, 8, 47, 94, 188

377

13, 29

378

2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189

379

None

380

2, 4, 5, 10, 19, 20, 38, 76, 95, 190

381

3, 127

382

2, 191

383

None

384

2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192

385

5, 7, 11, 35, 55, 77

386

2, 193

387

3, 9, 43, 129

388

2, 4, 97, 194

389

None

390

2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195

391

17, 23

392

2, 4, 7, 8, 14, 28, 49, 56, 98, 196

393

3, 131

394

2, 197

395

5, 79

396

2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198

397

None

398

2, 199

399

3, 7, 19, 21, 57, 133

400

2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200

401

None

402

2, 3, 6, 67, 134, 201

403

13, 31

404

2, 4, 101, 202

405

3, 5, 9, 15, 27, 45, 81, 135

406

2, 7, 14, 29, 58, 203

407

11, 37

408

2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204

409

None

410

2, 5, 10, 41, 82, 205

411

3, 137

412

2, 4, 103, 206

413

7, 59

414

2, 3, 6, 9, 18, 23, 46, 69, 138, 207

415

5, 83

416

2, 4, 8, 13, 16, 26, 32, 52, 104, 208

417

3, 139

418

2, 11, 19, 22, 38, 209

419

None

420

2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210

421

None

422

2, 211

423

3, 9, 47, 141

424

2, 4, 8, 53, 106, 212

425

5, 17, 25, 85

426

2, 3, 6, 71, 142, 213

427

7, 61

428

2, 4, 107, 214

429

3, 11, 13, 33, 39, 143

430

2, 5, 10, 43, 86, 215

431

None

432

2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216

433

None

434

2, 7, 14, 31, 62, 217

435

3, 5, 15, 29, 87, 145

436

2, 4, 109, 218

437

19, 23

438

2, 3, 6, 73, 146, 219

439

None

440

2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220

441

3, 7, 9, 21, 49, 63, 147

442

2, 13, 17, 26, 34, 221

443

None

444

2, 3, 4, 6, 12, 37, 74, 111, 148, 222

445

5, 89

446

2, 223

447

3, 149

448

2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224

449

None

450

2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225

451

11, 41

452

2, 4, 113, 226

453

3, 151

454

2, 227

455

5, 7, 13, 35, 65, 91

456

2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228

457

None

458

2, 229

459

3, 9, 17, 27, 51, 153

460

2, 4, 5, 10, 20, 23, 46, 92, 115, 230

461

None

462

2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231

463

None

464

2, 4, 8, 16, 29, 58, 116, 232

465

3, 5, 15, 31, 93, 155

466

2, 233

467

None

468

2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234

469

7, 67

470

2, 5, 10, 47, 94, 235

471

3, 157

472

2, 4, 8, 59, 118, 236

473

11, 43

474

2, 3, 6, 79, 158, 237

475

5, 19, 25, 95

476

2, 4, 7, 14, 17, 28, 34, 68, 119, 238

477

3, 9, 53, 159

478

2, 239

479

None

480

2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240

481

13, 37

482

2, 241

483

3, 7, 21, 23, 69, 161

484

2, 4, 11, 22, 44, 121, 242

485

5, 97

486

2, 3, 6, 9, 18, 27, 54, 81, 162, 243

487

None

488

2, 4, 8, 61, 122, 244

489

3, 163

490

2, 5, 7, 10, 14, 35, 49, 70, 98, 245

491

None

492

2, 3, 4, 6, 12, 41, 82, 123, 164, 246

493

17, 29

494

2, 13, 19, 26, 38, 247

495

3, 5, 9, 11, 15, 33, 45, 55, 99, 165

496

2, 4, 8, 16, 31, 62, 124, 248

497

7, 71

498

2, 3, 6, 83, 166, 249

499

None

500

2, 4, 5, 10, 20, 25, 50, 100, 125, 250

501

3, 167

502

2, 251

503

None

504

2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252

505

5, 101

506

2, 11, 22, 23, 46, 253

507

3, 13, 39, 169

508

2, 4, 127, 254

509

None

510

2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255

511

7, 73

512

2, 4, 8, 16, 32, 64, 128, 256

513

3, 9, 19, 27, 57, 171

514

2, 257

515

5, 103

516

2, 3, 4, 6, 12, 43, 86, 129, 172, 258

517

11, 47

518

2, 7, 14, 37, 74, 259

519

3, 173

520

2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260

521

None

522

2, 3, 6, 9, 18, 29, 58, 87, 174, 261

523

None

524

2, 4, 131, 262

525

3, 5, 7, 15, 21, 25, 35, 75, 105, 175

526

2, 263

527

17, 31

528

2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264

529

23

530

2, 5, 10, 53, 106, 265

531

3, 9, 59, 177

532

2, 4, 7, 14, 19, 28, 38, 76, 133, 266

533

13, 41

534

2, 3, 6, 89, 178, 267

535

5, 107

536

2, 4, 8, 67, 134, 268

537

3, 179

538

2, 269

539

7, 11, 49, 77

540

2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270

541

None

542

2, 271

543

3, 181

544

2, 4, 8, 16, 17, 32, 34, 68, 136, 272

545

5, 109

546

2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273

547

None

548

2, 4, 137, 274

549

3, 9, 61, 183

550

2, 5, 10, 11, 22, 25, 50, 55, 110, 275

551

19, 29

552

2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276

553

7, 79

554

2, 277

555

3, 5, 15, 37, 111, 185

556

2, 4, 139, 278

557

None

558

2, 3, 6, 9, 18, 31, 62, 93, 186, 279

559

13, 43

560

2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280

561

3, 11, 17, 33, 51, 187

562

2, 281

563

None

564

2, 3, 4, 6, 12, 47, 94, 141, 188, 282

565

5, 113

566

2, 283

567

3, 7, 9, 21, 27, 63, 81, 189

568

2, 4, 8, 71, 142, 284

569

None

570

2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285

571

None

572

2, 4, 11, 13, 22, 26, 44, 52, 143, 286

573

3, 191

574

2, 7, 14, 41, 82, 287

575

5, 23, 25, 115

576

2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288

577

None

578

2, 17, 34, 289

579

3, 193

580

2, 4, 5, 10, 20, 29, 58, 116, 145, 290

581

7, 83

582

2, 3, 6, 97, 194, 291

583

11, 53

584

2, 4, 8, 73, 146, 292

585

3, 5, 9, 13, 15, 39, 45, 65, 117, 195

586

2, 293

587

None

588

2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294

589

19, 31

590

2, 5, 10, 59, 118, 295

591

3, 197

592

2, 4, 8, 16, 37, 74, 148, 296

593

None

594

2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297

595

5, 7, 17, 35, 85, 119

596

2, 4, 149, 298

597

3, 199

598

2, 13, 23, 26, 46, 299

599

None

600

2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300

601

None

602

2, 7, 14, 43, 86, 301

603

3, 9, 67, 201

604

2, 4, 151, 302

605

5, 11, 55, 121

606

2, 3, 6, 101, 202, 303

607

None

608

2, 4, 8, 16, 19, 32, 38, 76, 152, 304

609

3, 7, 21, 29, 87, 203

610

2, 5, 10, 61, 122, 305

611

13, 47

612

2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306

613

None

614

2, 307

615

3, 5, 15, 41, 123, 205

616

2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308

617

None

618

2, 3, 6, 103, 206, 309

619

None

620

2, 4, 5, 10, 20, 31, 62, 124, 155, 310

621

3, 9, 23, 27, 69, 207

622

2, 311

623

7, 89

624

2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312

625

5, 25, 125

626

2, 313

627

3, 11, 19, 33, 57, 209

628

2, 4, 157, 314

629

17, 37

630

2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315

631

None

632

2, 4, 8, 79, 158, 316

633

3, 211

634

2, 317

635

5, 127

636

2, 3, 4, 6, 12, 53, 106, 159, 212, 318

637

7, 13, 49, 91

638

2, 11, 22, 29, 58, 319

639

3, 9, 71, 213

640

2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320

641

None

642

2, 3, 6, 107, 214, 321

643

None

644

2, 4, 7, 14, 23, 28, 46, 92, 161, 322

645

3, 5, 15, 43, 129, 215

646

2, 17, 19, 34, 38, 323

647

None

648

2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324

649

11, 59

650

2, 5, 10, 13, 25, 26, 50, 65, 130, 325

651

3, 7, 21, 31, 93, 217

652

2, 4, 163, 326

653

None

654

2, 3, 6, 109, 218, 327

655

5, 131

656

2, 4, 8, 16, 41, 82, 164, 328

657

3, 9, 73, 219

658

2, 7, 14, 47, 94, 329

659

None

660

2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330

661

None

662

2, 331

663

3, 13, 17, 39, 51, 221

664

2, 4, 8, 83, 166, 332

665

5, 7, 19, 35, 95, 133

666

2, 3, 6, 9, 18, 37, 74, 111, 222, 333

667

23, 29

668

2, 4, 167, 334

669

3, 223

670

2, 5, 10, 67, 134, 335

671

11, 61

672

2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336

673

None

674

2, 337

675

3, 5, 9, 15, 25, 27, 45, 75, 135, 225

676

2, 4, 13, 26, 52, 169, 338

677

None

678

2, 3, 6, 113, 226, 339

679

7, 97

680

2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340

681

3, 227

682

2, 11, 22, 31, 62, 341

683

None

684

2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342

685

5, 137

686

2, 7, 14, 49, 98, 343

687

3, 229

688

2, 4, 8, 16, 43, 86, 172, 344

689

13, 53

690

2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345

691

None

692

2, 4, 173, 346

693

3, 7, 9, 11, 21, 33, 63, 77, 99, 231

694

2, 347

695

5, 139

696

2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348

697

17, 41

698

2, 349

699

3, 233

700

2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350

701

None

702

2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351

703

19, 37

704

2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352

705

3, 5, 15, 47, 141, 235

706

2, 353

707

7, 101

708

2, 3, 4, 6, 12, 59, 118, 177, 236, 354

709

None

710

2, 5, 10, 71, 142, 355

711

3, 9, 79, 237

712

2, 4, 8, 89, 178, 356

713

23, 31

714

2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357

715

5, 11, 13, 55, 65, 143

716

2, 4, 179, 358

717

3, 239

718

2, 359

719

None

720

2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360

721

7, 103

722

2, 19, 38, 361

723

3, 241

724

2, 4, 181, 362

725

5, 25, 29, 145

726

2, 3, 6, 11, 22, 33, 66, 121, 242, 363

727

None

728

2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364

729

3, 9, 27, 81, 243

730

2, 5, 10, 73, 146, 365

731

17, 43

732

2, 3, 4, 6, 12, 61, 122, 183, 244, 366

733

None

734

2, 367

735

3, 5, 7, 15, 21, 35, 49, 105, 147, 245

736

2, 4, 8, 16, 23, 32, 46, 92, 184, 368

737

11, 67

738

2, 3, 6, 9, 18, 41, 82, 123, 246, 369

739

None

740

2, 4, 5, 10, 20, 37, 74, 148, 185, 370

741

3, 13, 19, 39, 57, 247

742

2, 7, 14, 53, 106, 371

743

None

744

2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372

745

5, 149

746

2, 373

747

3, 9, 83, 249

748

2, 4, 11, 17, 22, 34, 44, 68, 187, 374

749

7, 107

750

2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375

751

None

752

2, 4, 8, 16, 47, 94, 188, 376

753

3, 251

754

2, 13, 26, 29, 58, 377

755

5, 151

756

2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378

757

None

758

2, 379

759

3, 11, 23, 33, 69, 253

760

2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380

761

None

762

2, 3, 6, 127, 254, 381

763

7, 109

764

2, 4, 191, 382

765

3, 5, 9, 15, 17, 45, 51, 85, 153, 255

766

2, 383

767

13, 59

768

2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384

769

None

770

2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385

771

3, 257

772

2, 4, 193, 386

773

None

774

2, 3, 6, 9, 18, 43, 86, 129, 258, 387

775

5, 25, 31, 155

776

2, 4, 8, 97, 194, 388

777

3, 7, 21, 37, 111, 259

778

2, 389

779

19, 41

780

2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390

781

11, 71

782

2, 17, 23, 34, 46, 391

783

3, 9, 27, 29, 87, 261

784

2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392

785

5, 157

786

2, 3, 6, 131, 262, 393

787

None

788

2, 4, 197, 394

789

3, 263

790

2, 5, 10, 79, 158, 395

791

7, 113

792

2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396

793

13, 61

794

2, 397

795

3, 5, 15, 53, 159, 265

796

2, 4, 199, 398

797

None

798

2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399

799

17, 47

800

2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400

801

3, 9, 89, 267

802

2, 401

803

11, 73

804

2, 3, 4, 6, 12, 67, 134, 201, 268, 402

805

5, 7, 23, 35, 115, 161

806

2, 13, 26, 31, 62, 403

807

3, 269

808

2, 4, 8, 101, 202, 404

809

None

810

2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405

811

None

812

2, 4, 7, 14, 28, 29, 58, 116, 203, 406

813

3, 271

814

2, 11, 22, 37, 74, 407

815

5, 163

816

2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408

817

19, 43

818

2, 409

819

3, 7, 9, 13, 21, 39, 63, 91, 117, 273

820

2, 4, 5, 10, 20, 41, 82, 164, 205, 410

821

None

822

2, 3, 6, 137, 274, 411

823

None

824

2, 4, 8, 103, 206, 412

825

3, 5, 11, 15, 25, 33, 55, 75, 165, 275

826

2, 7, 14, 59, 118, 413

827

None

828

2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414

829

None

830

2, 5, 10, 83, 166, 415

831

3, 277

832

2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416

833

7, 17, 49, 119

834

2, 3, 6, 139, 278, 417

835

5, 167

836

2, 4, 11, 19, 22, 38, 44, 76, 209, 418

837

3, 9, 27, 31, 93, 279

838

2, 419

839

None

840

2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420

841

29

842

2, 421

843

3, 281

844

2, 4, 211, 422

845

5, 13, 65, 169

846

2, 3, 6, 9, 18, 47, 94, 141, 282, 423

847

7, 11, 77, 121

848

2, 4, 8, 16, 53, 106, 212, 424

849

3, 283

850

2, 5, 10, 17, 25, 34, 50, 85, 170, 425

851

23, 37

852

2, 3, 4, 6, 12, 71, 142, 213, 284, 426

853

None

854

2, 7, 14, 61, 122, 427

855

3, 5, 9, 15, 19, 45, 57, 95, 171, 285

856

2, 4, 8, 107, 214, 428

857

None

858

2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429

859

None

860

2, 4, 5, 10, 20, 43, 86, 172, 215, 430

861

3, 7, 21, 41, 123, 287

862

2, 431

863

None

864

2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432

865

5, 173

866

2, 433

867

3, 17, 51, 289

868

2, 4, 7, 14, 28, 31, 62, 124, 217, 434

869

11, 79

870

2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435

871

13, 67

872

2, 4, 8, 109, 218, 436

873

3, 9, 97, 291

874

2, 19, 23, 38, 46, 437

875

5, 7, 25, 35, 125, 175

876

2, 3, 4, 6, 12, 73, 146, 219, 292, 438

877

None

878

2, 439

879

3, 293

880

2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440

881

None

882

2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441

883

None

884

2, 4, 13, 17, 26, 34, 52, 68, 221, 442

885

3, 5, 15, 59, 177, 295

886

2, 443

887

None

888

2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444

889

7, 127

890

2, 5, 10, 89, 178, 445

891

3, 9, 11, 27, 33, 81, 99, 297

892

2, 4, 223, 446

893

19, 47

894

2, 3, 6, 149, 298, 447

895

5, 179

896

2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448

897

3, 13, 23, 39, 69, 299

898

2, 449

899

29, 31

900

2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450

901

17, 53

902

2, 11, 22, 41, 82, 451

903

3, 7, 21, 43, 129, 301

904

2, 4, 8, 113, 226, 452

905

5, 181

906

2, 3, 6, 151, 302, 453

907

None

908

2, 4, 227, 454

909

3, 9, 101, 303

910

2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455

911

None

912

2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456

913

11, 83

914

2, 457

915

3, 5, 15, 61, 183, 305

916

2, 4, 229, 458

917

7, 131

918

2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459

919

None

920

2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460

921

3, 307

922

2, 461

923

13, 71

924

2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462

925

5, 25, 37, 185

926

2, 463

927

3, 9, 103, 309

928

2, 4, 8, 16, 29, 32, 58, 116, 232, 464

929

None

930

2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465

931

7, 19, 49, 133

932

2, 4, 233, 466

933

3, 311

934

2, 467

935

5, 11, 17, 55, 85, 187

936

2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468

937

None

938

2, 7, 14, 67, 134, 469

939

3, 313

940

2, 4, 5, 10, 20, 47, 94, 188, 235, 470

941

None

942

2, 3, 6, 157, 314, 471

943

23, 41

944

2, 4, 8, 16, 59, 118, 236, 472

945

3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315

946

2, 11, 22, 43, 86, 473

947

None

948

2, 3, 4, 6, 12, 79, 158, 237, 316, 474

949

13, 73

950

2, 5, 10, 19, 25, 38, 50, 95, 190, 475

951

3, 317

952

2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476

953

None

954

2, 3, 6, 9, 18, 53, 106, 159, 318, 477

955

5, 191

956

2, 4, 239, 478

957

3, 11, 29, 33, 87, 319

958

2, 479

959

7, 137

960

2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480

961

31

962

2, 13, 26, 37, 74, 481

963

3, 9, 107, 321

964

2, 4, 241, 482

965

5, 193

966

2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483

967

None

968

2, 4, 8, 11, 22, 44, 88, 121, 242, 484

969

3, 17, 19, 51, 57, 323

970

2, 5, 10, 97, 194, 485

971

None

972

2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486

973

7, 139

974

2, 487

975

3, 5, 13, 15, 25, 39, 65, 75, 195, 325

976

2, 4, 8, 16, 61, 122, 244, 488

977

None

978

2, 3, 6, 163, 326, 489

979

11, 89

980

2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490

981

3, 9, 109, 327

982

2, 491

983

None

984

2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492

985

5, 197

986

2, 17, 29, 34, 58, 493

987

3, 7, 21, 47, 141, 329

988

2, 4, 13, 19, 26, 38, 52, 76, 247, 494

989

23, 43

990

2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495

991

None

992

2, 4, 8, 16, 31, 32, 62, 124, 248, 496

993

3, 331

994

2, 7, 14, 71, 142, 497

995

5, 199

996

2, 3, 4, 6, 12, 83, 166, 249, 332, 498

997

None

998

2, 499

999

3, 9, 27, 37, 111, 333

1000

2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500

Title

restricted divisors of the first 1000 positive integers

Canonical name

RestrictedDivisorsOfTheFirst1000PositiveIntegers

Date of creation

2013-03-22 16:52:42

Last modified on

2013-03-22 16:52:42

Owner

PrimeFan (13766)

Last modified by

PrimeFan (13766)

Numerical id

4

Author

PrimeFan (13766)

Entry type

Example

Classification

msc 11A51

Generated on Fri Feb 9 15:20:51 2018 by

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