500

500は自然数、また整数において、499の次で501の前の数である。

1. 性質
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500は合成数であり、約数は 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500 である。
約数の和は1092。
121番目の過剰数である。1つ前は498、次は504。
128番目のハーシャッド数である。1つ前は486、次は504。
5を基とする7番目のハーシャッド数である。1つ前は410、次は1040。
1 = 0.002
逆数が有限小数になる23番目の数である。1つ前は400、次は512。
割合では0.2%, 2.0‰, 2000ppmと等しい。
約数の和が500になる数は1個ある。 約数の和1個で表せる96番目の数である。1つ前は496、次は508。
各位の和が5になる21番目の数である。1つ前は410、次は1004。
各位の平方和が平方数になる51番目の数である。1つ前は488、次は600。
500 = 22}} × 5
2つの異なる素因数の積で //p//3}} × //q//2}} の形で表せる5番目の数である。1つ前は392、次は675。
7番目のアキレス数である。1つ前は432、次は648。
500 = 4 × 5
//n// = 5 のときの 4//n//3}} の値とみたとき1つ前は256、次は864。
500 = 53}} + 53}} + 53}} + 5
4つの正の数の立方数の和で表せる126番目の数である。1つ前は498、次は503。
500 = 5 × 10
//n// = 10 のときの 5//n//2}} の値とみたとき1つ前は405、次は605。
//n// = 5 のときの 100//n// の値とみたとき1つ前は400、次は600。
500 = 42 + 222 = 102 + 202
異なる2つの平方数の和で表せる150番目の数である。1つ前は493、次は505。
2つの平方数の和2通りで表せる29番目の数である。1つ前は493、次は505。
500 = 62 + 82 + 202 = 102 + 122 + 162
3つの平方数の和2通りで表せる118番目の数である。1つ前は499、次は522。
異なる3つの平方数の和2通りで表せる98番目の数である。1つ前は493、次は507。
//n// = 500 のとき //n// と //n// + 1 を並べた数を作ると素数になる。//n// と //n// + 1 を並べた数が素数になる63番目の数である。1つ前は482、次は506。
500 = 222}} + 
//n// = 22 のときの //n//2}} とその各位の和との和とみたとき1つ前は450、次は545。

2. その他 500 に関連すること
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500の接頭辞：quingenti,quincenti
現在の日本の流通硬貨の最高額は500円である。五百円硬貨発行前は五百円紙幣が発行されていた。
500はローマ数字では D で表される。
ドイツなどでは、1 ポンドは 500 グラムである。
フォード・ファイブハンドレッドは主に北米で生産・販売されている乗用車。
フィアット・500/500L/500Xは、イタリアのフィアットが製造している乗用車。
フェラーリ・500F2はフェラーリのフォーミュラ2カー。
マツダ・ユーノス500はマツダが生産していた乗用車。
レクサス・LC500はトヨタが製造している乗用車。
インディ500は走行距離500マイルを争う世界三大レースの1つ。
HTTPプロトコルにおいては「Internal Server Error」を示すステータスコード。
五百川は、福島県郡山市、本宮市を流れる河川。
五百羅漢は、仏陀に常に付き添った500人の弟子、また第一回結集に集まった500人の弟子。
五百羅漢駅は、伊豆箱根鉄道大雄山線の駅。
呂号第五百潜水艦は、日本の潜水艦。
500本塁打クラブは、MLBにおいて通算500本塁打以上を打った選手の集団。
500系または500形を称する鉄道車両
五百小竹 - 東京都世田谷区大原
マーズ500は、ロシアの火星有人飛行プロジェクト。
ファイブハンドレッドは、トランプゲームのひとつ。
500px

3. 501 から 599 までの整数
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3.1. 501 から 520
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501 = 3 × 167、最初の18個の素数の和

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502 = 2 × 251

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503 : 素数、オイラー素数、安全素数、陳素数、3つの連続した素数の和 、4つの連続した素数の3乗の和

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504 = 23 × 32 × 7、トリボナッチ数、ハーシャッド数

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505 = 5 × 101、7セグメントディスプレイでの表示で点対称な数である。

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506 = 2 × 11 × 23、楔数、四角錐数、矩形数、ハーシャッド数

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507 = 3 × 132 = 220 + 221 + 222

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508 = 22 × 127、4つの連続した素数の和 

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509 : 素数、ソフィー・ジェルマン素数、陳素数、509 = 122 + 132 + 142

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510 = 2 × 3 × 5 × 17、ハーシャッド数、ノントーティエント、8つの連続した素数の和 、10個の連続した素数の和 、12個の連続した素数の和 

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511 = 7 × 73、ハーシャッド数

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512 = 29 = 83、ハーシャッド数

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513 = 33 × 19、ハーシャッド数、3連続整数の9乗和 09 + 19 + 29

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514 = 2 × 257 = 13}} + 13}} + 83}} 、中心つき三角数、ノントーティエント

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515 = 5 × 103、9つの連続した素数の和 、五・一五事件

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516 = 22 × 3 × 43、ハーシャッド数、ノントーティエント

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517 = 11 × 47、スミス数、5つの連続した素数の和 

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518 = 2 × 7 × 37 = 51 + 12 + 83、楔数、ハーシャッド数、ノントーティエント

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519 = 3 × 173、3つの連続した素数の和 

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520 = 23 × 5 × 13

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3.2. 521 から 540
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521 : 素数、陳素数、双子素数

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522 = 2 × 32 × 29、ハーシャッド数、6つの連続した素数の和 

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523 : 素数、双子素数、7つの連続した素数の和 

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524 = 22 × 131

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525 = 3 × 52 × 7、7セグメントディスプレイでの表示で点対称な数である。

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526 = 2 × 263、中心つき五角数、スミス数、ノントーティエント

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527 = 17 × 31

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528 = 24 × 3 × 11、三角数

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529 = 232、中心つき八角数

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530 = 2 × 5 × 53 = 6 + 28 + 496、楔数、ノントーティエント

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531 = 32 × 59、ハーシャッド数

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532 = 22 × 7 × 19、五角数、ノントーティエント

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533 = 13 × 41、3つの連続した素数の和 、5つの連続した素数の和 

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534 = 2 × 3 × 89、楔数、ノントーティエント、4つの連続した素数の和 

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535 = 5 × 107、スミス数、esupの近似値

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536 = 23 × 67

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537 = 3 × 179

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538 = 2 × 269、ノントーティエント

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539 = 72 × 11

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540 = 22 × 33 × 5、七角数、十角数、ハーシャッド数

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3.3. 541 から 560
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541 : 100番目の素数、陳素数、六芒星数、幸運数

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542 = 2 × 271、ノントーティエント

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543 = 3 × 181 = 2}} − 2}} + 2}} − 

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544 = 25 × 17 = 28 + 11 + 22 + 33 + 44 = 29 + 11 + 22 + 33 = 25}} × 

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545 = 5 × 109、中心つき四角数

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546 = 2 × 3 × 7 × 13 = 2 ×  = 666}}、8つの連続した素数の和 、阪神・淡路大震災の発生時刻のHHMMである。東日本大震災の発生時刻の協定世界時刻でもある。

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547 : 素数、オイラー素数、中心つき六角数、中心つき七角数

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548 = 22 × 137、ノントーティエント

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549 = 32 × 61

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550 = 2 × 52 × 11、ハーシャッド数、原始擬似完全数、五角錐数、ノントーティエント

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551 = 19 × 29、中心つき十角数、3つの連続した素数の和 

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552 = 23 × 3 × 23、矩形数、ハーシャッド数、6つの連続した素数の和 、10個の連続した素数の和 

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553 = 7 × 79、9つの連続した素数の和 、553 = 230}} + 231}} + 23

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554 = 2 × 277、ノントーティエント

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555 = 3 × 5 × 37、楔数、ハーシャッド数、7セグメントディスプレイでの表示で点対称な数である。

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556 = 22 × 139、4つの連続した素数の和 

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557 : 素数、陳素数

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558 = 2 × 32 × 31、ハーシャッド数、ノントーティエント

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559 = 13 × 43、九角数、5つの連続した素数の和 、7つの連続した素数の和 

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560 = 24 × 5 × 7、八角数、三角錐数

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3.4. 561 から 580
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561 = 3 × 11 × 17、楔数、三角数、六角数、カーマイケル数

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562 = 2 × 281、スミス数、12個の連続した素数の和 .

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563 : 素数、安全素数、陳素数、ウィルソン素数

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564 = 22 × 3 × 47、双子素数の和

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565 = 5 × 113、3つの連続した素数の和 

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566 = 2 × 283、ノントーティエント、566 

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567 = 34 × 7 = 61}} + 72}} + 8

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568 = 23 × 71、最初の19個の素数の和

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569 : 素数、陳素数、双子素数

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570 = 2 × 3 × 5 × 19

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571 : 素数、陳素数、双子素数、中心つき三角数

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572 = 22 × 11 × 13、原始擬似完全数、ノントーティエント

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573 = 3 × 191

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574 = 2 × 7 × 41、楔数、ノントーティエント 14×41＝574。2つの数の積で表したとき、回文数でない数とその数を逆に並べた数との積で表せる3番目の数。1つ手前は403、次は736。

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575 = 52 × 23

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576 = 26 × 32 = 242、ハーシャッド数、スミス数、高度トーティエント数、4つの連続した素数の和 

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577 = 83}} + 82}} + 1 、素数、陳素数、幸運数

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578 = 2 × 172、ノントーティエント

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579 = 3 × 193

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580 = 22 × 5 × 29、6つの連続した素数の和 

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3.5. 581 から 599
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581 = 7 × 83、3つの連続した素数の和 

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582 = 2 × 3 × 97、楔数、ノントーティエント、8つの連続した素数の和 

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583 = 11 × 53、国鉄583系電車

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584 = 23 × 73、584 = 81}} + 82}} + 8

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585 = 32 × 5 × 13 = 80}} + 81}} + 82}} + 83}} = 13}} + 23}} + 43}} + 83}} 、7セグメントディスプレイでの表示で点対称な数である、585 × 10−2}} = 5.85 は //e// + π の数字列である。

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586 = 2 × 293

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587 : 素数、安全素数、陳素数、5つの連続した素数の和 

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588 = 22 × 3 × 72、ハーシャッド数、スミス数

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589 = 19 × 31、3つの連続した素数の和 

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590 = 2 × 5 × 59、楔数、五角数、ノントーティエント

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591 = 3 × 197

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592 = 24 × 37、ハーシャッド数

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593 = 92}} + 29}} 、素数、オイラー素数、ソフィー・ジェルマン素数、レイランド素数、7つの連続した素数の和 、9つの連続した素数の和 

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594 = 2 × 33 × 11、ハーシャッド数、ノントーティエント、10個の連続した素数の和 

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595 = 5 × 7 × 17、楔数、三角数、中心つき九角数

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596 = 22 × 149、ノントーティエント、4つの連続した素数の和 

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597 = 3 × 199

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598 = 2 × 13 × 23 = 51}} + 92}} + 8

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599 : 素数、陳素数、双子素数

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4. 関連項目
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数に関する記事の一覧
西暦500年
紀元前500年
100 200 300 400 500 600 700 800 900 1000
名数一覧
//斜体//で表した数は素数である。