nyuuzyou/wikis huggingface dataset:
92

== Number ==
$92$ (ninety-two) is:
:$2^2 \times 23$
:The $6$th tri-automorphic number after $2$, $5$, $7$, $67$, $75$:
::$92^2 \times 3 = 25 \, 5 \mathbf {92}$
:The $8$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $51$, $70$:
::$92 = 1 + 4 + 7 + 10 + 13 + 16 + 19 + 22 = \dfrac {8 \paren {3 \times 8 - 1} } 2$
:The $15$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $22$, $26$, $35$, $40$, $51$, $57$, $70$, $77$:
::$92 = \dfrac {8 \paren {3 \times 8 - 1} } 2$
:The $18$th positive integer $n$ after $5$, $11$, $17$, $23$, $29$, $30$, $36$, $42$, $48$, $54$, $60$, $61$, $67$, $73$, $79$, $85$, $91$ such that no factorial of an integer can end with $n$ zeroes
:The $27$th positive integer which is not the sum of $1$ or more distinct squares:
::$2$, $3$, $6$, $7$, $8$, $11$, $12$, $15$, $18$, $19$, $22$, $23$, $24$, $27$, $28$, $31$, $32$, $33$, $43$, $44$, $47$, $48$, $60$, $67$, $72$, $76$, $92$, $\ldots$
== Also see ==
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Category:Specific Numbers
Category:92
92,727

== Number ==
$92 \, 727$ (ninety-two thousand, seven hundred and twenty-seven) is:
:$3^2 \times 10 \, 303$
:The $18$th pluperfect digital invariant after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $153$, $370$, $371$, $407$, $1634$, $8208$, $9474$, $54 \, 748$:
::$9^5 + 2^5 + 7^5 + 2^5 + 7^5 = 59 \, 049 + 32 + 16 \, 807 + 32 + 16 \, 807 = 92 \, 727$
== Also see ==
* 
Category:Specific Numbers
Category:92,727
9216

== Number ==
$9216$ (nine thousand, two hundred and sixteen) is:
:$2^{10} \times 3^2$
:The $35$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $\ldots$, $5184$, $5776$, $6084$, $6400$, $7056$, $7744$, $8100$ to be the divisor sum value of some (strictly) positive integer:
::$9216 = \map {\sigma_1} {3810}$
:The $96$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $7396$, $7569$, $7744$, $7921$, $8100$, $8281$, $8464$, $8649$, $8836$, $9025$
::$9216 = 96 \times 96$
== Also see ==
* 
* 
Category:Specific Numbers
Category:9216
922

== Number ==
$922$ (nine hundred and twenty-two) is:
:$2 \times 461$
:The $47$th Smith number after $4$, $22$, $27$, $58$, $\ldots$, $778$, $825$, $852$, $895$, $913$, $915$:
::$9 + 2 + 2 = 2 + 4 + 6 + 1 = 13$
== Also see ==
* 
Category:Specific Numbers
Category:922
923,187,456

== Number ==
$923 \, 187 \, 456$ is:
:$2^8 \times 3^4 \times 211^2$
:The $30 \, 384$th square number:
::$923 \, 187 \, 456 = 30 \, 384 \times 30 \, 384$
:The largest penholodigital square
== Also see ==
* Largest Penholodigital Square
* 
== Sources ==
* : $923,187,456$
* : $923,187,456$
Category:Specific Numbers
Category:923,187,456
924

== Number ==
$924$ (nine hundred and twenty-four) is:
:$2^2 \times 3 \times 7 \times 11$
:The $6$th central binomial coefficient after $2$, $6$, $20$, $70$, $252$:
::$924 = \dbinom {2 \times 6} 6 := \dfrac {12!} {\paren {6!}^2}$
== Also see ==
* 
Category:Specific Numbers
Category:924
9240

== Number ==
$9240$ (nine thousand, two hundred and forty) is:
:$2^3 \times 3 \times 5 \times 7 \times 11$
:Has the highest divisor count of all numbers less than $10 \, 000$ except for $7560$:
::$\map {\sigma_0} {9240} = \map {\sigma_0} {7560} = 64$
== Sources ==
* : $9240$
* : $9240$
Category:Specific Numbers
Category:9240
925

== Number ==
$925$ (nine hundred and twenty-five) is:
:$5^2 \times 37$
:The $25$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $477$, $532$, $590$, $651$, $715$, $782$, $852$:
::$925 = \ds \sum_{k \mathop = 1}^{25} \paren {3 k - 2} = \dfrac {25 \paren {3 \times 25 - 1} } 2$
:The $49$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $610$, $651$, $672$, $715$, $737$, $782$, $805$, $852$, $876$:
::$925 = \ds \sum_{k \mathop = 1}^{25} \paren {3 k - 2} = \dfrac {25 \paren {3 \times 25 - 1} } 2$
== Also see ==
* 
* 
Category:Specific Numbers
Category:925
9261

== Number ==
$9261$ (nine thousand, two hundred and sixty-one) is:
:$3^3 \times 7^3$
:The $21$st cube number after $1$, $8$, $27$, $64$, $125$, $216$, $343$, $512$, $729$, $1000$, $1331$, $1728$, $2197$, $2744$, $3375$, $4096$, $4913$, $5832$, $6859$, $8000$:
::$9261 = 21 \times 21 \times 21$
== Also see ==
* 
Category:Specific Numbers
Category:9261
9272

== Number ==
$9272$ (nine thousand, two hundred and seventy-two) is:
:$2^3 \times 19 \times 61$
:The $6$th weird number after $70$, $836$, $4030$, $5830$, $7192$, $7912$:
::$\map {\sigma_1} {9272} - 9272 = 9328$: $9272$ cannot be made from its aliquot parts
== Also see ==
* 
Category:Specific Numbers
Category:9272
929

== Number ==
$929$ (nine hundred and twenty-nine) is:
:The $158$th prime number.
:The smaller of the $14$th pair of primes whose prime gap is $8$:
::$937 - 929 = 8$
:The larger of the $16$th pair of primes whose prime gap is $10$:
::$929 - 919 = 10$
:The $17$th Proth prime after $3$, $5$, $13$, $17$, $41$, $\ldots$, $449$, $577$, $641$, $673$, $769$:
::$929 = 29 \times 2^5 + 1$
:The $20$th palindromic prime:
::$2$, $3$, $5$, $7$, $11$, $101$, $131$, $151$, $181$, $191$, $313$, $353$, $373$, $383$, $727$, $757$, $787$, $797$, $919$, $929$, $\ldots$
:The $43$rd near-repdigit prime after $101$, $113$, $131$, $151$, $\ldots$, $727$, $733$, $757$, $773$, $787$, $797$, $811$, $877$, $881$, $883$, $887$, $911$, $919$
== Also see ==
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Category:Specific Numbers
Category:929
9296

== Number ==
$9296$ (nine thousand, two hundred and ninety-six) is:
:$2^4 \times 7 \times 83$
:The $56$th octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $7701$, $8008$, $8321$, $8640$, $8965$:
::$9296 = \ds \sum_{k \mathop = 1}^{56} \paren {6 k - 5} = 56 \paren {3 \times 56 - 2}$
== Also see ==
* 
Category:Specific Numbers
Category:9296
93

== Number ==
$93$ (ninety-three) is:
:$3 \times 31$
:The $21$st lucky number:
::$1$, $3$, $7$, $9$, $13$, $15$, $21$, $25$, $31$, $33$, $37$, $43$, $49$, $51$, $63$, $67$, $73$, $75$, $79$, $87$, $93$, $\ldots$
:The $31$st semiprime:
::$93 = 3 \times 31$
== Also see ==
* 
* 
Category:Specific Numbers
Category:93
93,084

== Number ==
$93 \, 084$ (ninety-three thousand and eighty-four) is:
:$2^2 \times 3 \times 7757$
:The $19$th pluperfect digital invariant after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $153$, $370$, $371$, $407$, $1634$, $8208$, $9474$, $54 \, 748$, $92 \, 727$:
::$9^5 + 3^5 + 0^5 + 8^5 + 4^5 = 59 \, 049 + 243 + 0 + 32 \, 768 + 1024 = 93 \, 084$
== Also see ==
* 
Category:Specific Numbers
Category:93,084
9316

== Number ==
$9316$ (nine thousand, three hundred and sixteen) is:
:$2^2 \times 17 \times 137$
:The $136$th triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $8515$, $8646$, $8778$, $8911$, $9045$, $9180$:
::$9316 = \ds \sum_{k \mathop = 1}^{136} k = \dfrac {136 \times \paren {136 + 1} } 2$
== Also see ==
* 
Category:Specific Numbers
Category:9316
9349

== Number ==
$9349$ (nine thousand, three hundred and forty-nine) is:
:The $1162$nd prime number
:The $11$th Lucas prime after $2$, $3$, $7$, $11$, $29$, $47$, $199$, $521$, $2207$, $3571$.
:The $19$th Lucas number after $(2)$, $1$, $3$, $4$, $7$, $11$, $18$, $29$, $47$, $76$, $123$, $199$, $322$, $521$, $843$, $1364$, $2207$, $3571$, $5778$:
::$9349 = 3571 + 5778$
== Also see ==
* 
* 
* 
Category:Specific Numbers
Category:9349
935

== Number ==
$935$ (nine hundred and thirty-five) is:
:$5 \times 11 \times 17$
:The $2$nd Lucas-Carmichael number after $399$:
::$\paren {5 + 1} \divides \paren {935 + 1}$, $\paren {11 + 1} \divides \paren {935 + 1}$, $\paren {17 + 1} \divides \paren {935 + 1}$
== Also see ==
* 
Category:Specific Numbers
Category:935
936

== Number ==
$936$ (nine hundred and thirty-six) is:
:$2^3 \times 3^2 \times 13$
:The $12$th pentagonal pyramidal number after $1$, $6$, $12$, $40$, $75$, $126$, $196$, $288$, $405$, $550$, $726$:
::$936 = \ds \sum_{k \mathop = 1}^{12} \dfrac {k \paren {3 k - 1} } 2 = \dfrac {12^2 \paren {12 + 1} } 2$
:The $18$th octagonal number, after $1$, $8$, $21$, $40$, $65$, $96$, $133$, $176$, $225$, $280$, $341$, $408$, $481$, $560$, $645$, $736$, $833$:
::$936 = \ds \sum_{k \mathop = 1}^{18} \paren {6 k - 5} = 18 \paren {3 \times 18 - 2}$
== Also see ==
* 
* 
Category:Specific Numbers
Category:936
937

== Number ==
$937$ (nine hundred and thirty-seven) is:
:The $159$th prime number
:The larger of the $14$th pair of primes whose prime gap is $8$:
::$937 - 929 = 8$
:The $29$th emirp after $13$, $17$, $31$, $37$, $\ldots$, $733$, $739$, $743$, $751$, $761$, $769$, $907$
:The $49$th left-truncatable prime after $2$, $3$, $5$, $7$, $\ldots$, $443$, $467$, $523$, $547$, $613$, $617$, $643$, $647$, $653$, $673$, $683$, $743$, $773$, $797$, $823$, $853$, $883$
:The $55$th long period prime after $7$, $17$, $19$, $23$, $29$, $\ldots$, $701$, $709$, $727$, $743$, $811$, $821$, $823$, $857$, $863$, $887$
== Also see ==
* 
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Category:Specific Numbers
Category:937
9376

== Number ==
$9376$ (nine thousand, three hundred and seventy-six) is:
:$2^5 \times 293$
:The $8$th automorphic number after $1$, $5$, $6$, $25$, $76$, $376$, $625$:
::$9376^2 = 87 \, 90 \mathbf {9 \, 376}$
== Also see ==
* 
Category:Specific Numbers
Category:9376
94

== Number ==
$94$ (ninety-four) is:
:$2 \times 47$
:The $3$rd even integer after $2$, $4$ that cannot be expressed as the sum of $2$ prime numbers which are each one of a pair of twin primes
:The $6$th Smith number after $4$, $22$, $27$, $58$, $85$:
::$9 + 4 = 2 + 4 + 7 = 13$
:The $7$th number after $1$, $3$, $22$, $66$, $70$, $81$ whose divisor sum is square:
:
:The $11$th integer $m$ such that $m! - 1$ (its factorial minus $1$) is prime:
::$3$, $4$, $6$, $7$, $12$, $14$, $30$, $32$, $33$, $38$, $94$
:The $12$th nontotient after $14$, $26$, $34$, $38$, $50$, $62$, $68$, $74$, $76$, $86$, $90$:
::$\nexists m \in \Z_{>0}: \map \phi m = 94$
:where $\map \phi m$ denotes the Euler $\phi$ function
:The $18$th happy number after $1$, $7$, $10$, $13$, $19$, $23$, $28$, $31$, $32$, $44$, $49$, $68$, $70$, $79$, $82$, $86$, $91$:
::$94 \to 9^2 + 4^2 = 81 + 16 = 97 \to 9^2 + 7^2 = 81 + 49 = 130 \to 1^2 + 3^2 + 0^2 = 1 + 9 + 0 = 10 \to 1^2 + 0^2 = 1$
:The $32$nd semiprime:
::$94 = 2 \times 47$
:The $46$th positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $61$, $65$, $66$, $67$, $72$, $77$, $80$, $81$, $84$, $89$ which cannot be expressed as the sum of distinct pentagonal numbers
== Also see ==
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== Sources ==
* : $94$
* : $94$
Category:Specific Numbers
Category:94
94,249

== Number ==
$94 \, 249$ (ninety-four thousand, two hundred and forty-nine) is:
:$307^2$
:The $307$th square number:
::$94 \, 249 = 307 \times 307$
:The $3$rd palindromic square with a non-palindromic square root after $676$, $69 \, 696$:
::$94 \, 249 = 307^2$
== Also see ==
* 
* 
== Sources ==
* : $94,249$
* : $94,249$
Category:Specific Numbers
Category:94,249
94,550

== Number ==
$94 \, 550$ (ninety-four thousand, five hundred and fifty) is:
:$2 \times 5^2 \times 31 \times 61$
:The $24$th integer $m$ such that $m! - 1$ (its factorial minus $1$) is prime:
::$3$, $4$, $6$, $7$, $12$, $14$, $30$, $32$, $33$, $38$, $94$, $166$, $324$, $379$, $469$, $546$, $974$, $1963$, $3507$, $3610$, $6917$, $21 \, 480$, $34 \, 790$, $94 \, 550$
== Also see ==
* 
Category:Specific Numbers
Category:94,550
9409

== Number ==
$9409$ (nine thousand, four hundred and nine) is:
:$97^2$
:The $97$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $7396$, $7569$, $7744$, $7921$, $8100$, $8281$, $8464$, $8649$, $8836$, $9025$, $9216$
::$9409 = 97 \times 97$
== Also see ==
* 
Category:Specific Numbers
Category:9409
941

== Number ==
$941$ (nine hundred and forty-one) is:
:The $160$th prime number
:The $30$th emirp after $13$, $17$, $31$, $37$, $\ldots$, $733$, $739$, $743$, $751$, $761$, $769$, $907$, $937$
:The $56$th long period prime after $7$, $17$, $19$, $23$, $29$, $\ldots$, $823$, $857$, $863$, $887$, $937$
== Also see ==
* 
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Category:Specific Numbers
Category:941
945

== Number ==
$945$ (nine hundred and forty-five) is:
:$3^3 \times 5 \times 7$
:The $1$st odd abundant number:
::$\map {\sigma_1} {945} - 945 = 975 > 945$
:The $14$th primitive abundant number after $20$, $70$, $88$, $104$, $272$, $304$, $368$, $464$, $550$, $572$, $650$, $748$, $836$:
::$1 + 3 + 5 + 7 + 9 + 15 + 21 + 27 + 35 + 45 + 63 + 105 + 135 + 189 + 315 = 975 > 945$
:The $19$th primitive semiperfect number after $6$, $20$, $28$, $88$, $104$, $272$, $304$, $350$, $368$, $464$, $490$, $496$, $550$, $572$, $650$, $748$, $770$, $910$:
::$945 = 1 + 5 + 7 + 9 + 15 + 21 + 35 + 45 + 63 + 105 + 135 + 189 + 315$
== Also see ==
* Primitive Semiperfect Number: 945
* 
* 
* 
== Sources ==
* : $945$
* : $945$
Category:Specific Numbers
Category:945
9453

== Number ==
$9453$ (nine thousand, four hundred and fifty-three) is:
:$3 \times 23 \times 137$
:The $69$th hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $\ldots$, $6903$, $7140$, $7381$, $7626$, $7875$, $8128$, $8385$, $8646$, $8911$, $9180$:
::$9453 = \ds \sum_{k \mathop = 1}^{69} \paren {4 k - 3} = 69 \paren {2 \times 69 - 1}$
:The $137$th triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $8515$, $8646$, $8778$, $8911$, $9045$, $9180$, $9316$:
::$9453 = \ds \sum_{k \mathop = 1}^{137} k = \dfrac {137 \times \paren {137 + 1} } 2$
== Also see ==
* 
* 
Category:Specific Numbers
Category:9453
9455

== Number ==
$9455$ (nine thousand, four hundred and fifty-five) is:
:$5 \times 31 \times 61$
:The $30$th square pyramidal number after $1$, $5$, $14$, $30$, $55$, $\ldots$, $3311$, $3795$, $4324$, $4900$, $5525$, $6201$, $6930$, $7714$, $8555$:
::$9455 = \ds \sum_{k \mathop = 1}^{30} k^2 = \dfrac {30 \paren {30 + 1} \paren {2 \times 30 + 1} } 6$
== Also see ==
* 
Category:Specific Numbers
Category:9455
946

== Number ==
$946$ (nine hundred and forty-six) is:
:$2 \times 11 \times 43$
:The $22$nd hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $\ldots$, $378$, $435$, $496$, $561$, $630$, $703$, $780$, $861$:
::$946 = \ds \sum_{k \mathop = 1}^{22} \paren {4 k - 3} = 22 \paren {2 \times 22 - 1}$
:The $43$rd triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $325$, $351$, $378$, $406$, $435$, $465$, $496$, $528$, $561$, $595$, $630$, $666$, $703$, $741$, $780$, $820$, $861$, $903$:
::$946 = \ds \sum_{k \mathop = 1}^{43} k = \dfrac {43 \times \paren {43 + 1} } 2$
== Also see ==
* 
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Category:Specific Numbers
Category:946
946,669

== Number ==
$946 \, 669$ (nine hundred and forty-six thousand, six hundred and sixty-nine) is:
:The $74 \, 672$nd prime number
:The $23$rd minimal prime base $10$ after $2$, $3$, $5$, $7$, $11$, $19$, $41$, $61$, $89$, $409$, $449$, $499$, $881$, $991$, $6469$, $6949$, $9001$, $9049$, $9649$, $9949$, $60 \, 649$, $666 \, 649$
== Also see ==
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Category:Specific Numbers
Category:946,669
947

== Number ==
$947$ (nine hundred and forty-seven) is:
:The $161$st prime number
:The $14$th balanced prime after $5$, $53$, $157$, $173$, $211$, $257$, $263$, $373$, $563$, $593$, $607$, $653$, $733$:
::$947 = \dfrac {941 + 953} 2$
:The $50$th left-truncatable prime after $2$, $3$, $5$, $7$, $\ldots$, $743$, $773$, $797$, $823$, $853$, $883$, $937$
== Also see ==
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Category:Specific Numbers
Category:947
9474

== Number ==
$9474$ (nine thousand, four hundred and seventy-four) is:
:$2 \times 3 \times 1579$
:The $16$th pluperfect digital invariant after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $153$, $370$, $371$, $407$, $1634$, $8208$:
::$9^4 + 4^4 + 7^4 + 4^4 = 6561 + 256 + 2401 + 256 = 9474$
== Also see ==
* 
Category:Specific Numbers
Category:9474
949

== Number ==
$949$ (nine hundred and forty-nine) is:
:$13 \times 73$
:The $6$th Fermat pseudoprime to base $3$ after $91$, $121$, $286$, $671$, $703$:
::$3^{949} \equiv 3 \pmod {949}$
== Also see ==
* 
Category:Specific Numbers
Category:949
95

== Number ==
$95$ (ninety-five) is:
:$5 \times 19$
:The $3$rd of the $17$ positive integers for which the value of the Euler $\phi$ function is $72$:
::$73$, $91$, $95$, $111$, $117$, $135$, $146$, $148$, $152$, $182$, $190$, $216$, $222$, $228$, $234$, $252$, $270$
:The $5$th Thabit number after $(2)$, $5$, $11$, $23$, $47$:
::$95 = 3 \times 2^5 - 1$ 
:The $5$th hexagonal pyramidal number after $1$, $7$, $22$, $50$:
::$95 = 1 + 6 + 15 + 28 + 45 = \ds \sum_{k \mathop = 1}^5 k \paren {2 k - 1} = \dfrac {5 \paren {5 + 1} \paren {4 \times 5 - 1} } 6$
:The $6$th inconsummate number after $62$, $63$, $65$, $75$, $84$:
::$\nexists n \in \Z_{>0}: n = 95 \times \map {s_{10} } n$
:The $33$rd semiprime:
::$95 = 5 \times 19$
:The $47$th positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $61$, $65$, $66$, $67$, $72$, $77$, $80$, $81$, $84$, $89$, $94$ which cannot be expressed as the sum of distinct pentagonal numbers.
:The $50$th (strictly) positive integer after $1$, $2$, $3$, $\ldots$, $77$, $78$, $79$, $84$, $90$, $91$ which cannot be expressed as the sum of distinct primes of the form $6 n - 1$
== Also see ==
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Category:Specific Numbers
Category:95
950

== Number ==
$950$ (nine hundred and fifty) is:
:$2 \times 5^2 \times 19$
:The $25$th second pentagonal number after $2$, $7$, $15$, $26$, $\ldots$, $222$, $260$, $301$, $345$, $392$, $442$, $495$, $551$, $610$, $672$, $737$, $805$, $876$:
::$950 = \dfrac {25 \paren {3 \times 25 + 1} } 2$
:The $50$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $610$, $651$, $672$, $715$, $737$, $782$, $805$, $852$, $876$, $925$:
::$950 = \dfrac {25 \paren {3 \times 25 + 1} } 2$
== Also see ==
* 
* 
Category:Specific Numbers
Category:950
953

== Number ==
$953$ (nine hundred and fifty-three) is:
:The $162$nd prime number
:The smaller of the $7$th pair of primes whose prime gap is $14$:
::$967 - 953 = 14$
:The $30$th emirp after $13$, $17$, $31$, $37$, $\ldots$, $733$, $739$, $743$, $751$, $761$, $769$, $907$, $937$, $941$
:The $37$th Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $\ldots$, $431$, $443$, $491$, $509$, $593$, $641$, $653$, $659$, $683$, $719$, $743$, $761$, $809$, $911$:
::$2 \times 953 + 1 = 1907$, which is prime.
:The $51$st left-truncatable prime after $2$, $3$, $5$, $7$, $\ldots$, $743$, $773$, $797$, $823$, $853$, $883$, $937$, $947$
:The $57$th long period prime after $7$, $17$, $19$, $23$, $29$, $\ldots$, $823$, $857$, $863$, $887$, $937$, $941$
== Also see ==
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Category:Specific Numbers
Category:953
958

== Number ==
$958$ (nine hundred and fifty-eight) is:
:$2 \times 479$
:The $48$th Smith number after $4$, $22$, $27$, $58$, $\ldots$, $778$, $825$, $852$, $895$, $913$, $915$, $922$:
::$9 + 5 + 8 = 2 + 4 + 7 + 9 = 22$
== Also see ==
* 
Category:Specific Numbers
Category:958
959

== Number ==
$959$ (nine hundred and fifty-nine) is:
:$7 \times 137$
:The $17$th obstinate number after $1$, $127$, $149$, $251$, $331$, $337$, $373$, $509$, $599$, $701$, $757$, $757$, $809$, $877$, $905$, $907$
== Also see ==
* 
Category:Specific Numbers
Category:959
9591

== Number ==
$9591$ (nine thousand, five hundred and ninety-one) is:
:$3 \times 23 \times 139$
:The $138$th triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $8911$, $9045$, $9180$, $9316$, $9453$:
::$9591 = \ds \sum_{k \mathop = 1}^{138} k = \dfrac {138 \times \paren {138 + 1} } 2$
== Also see ==
* 
Category:Specific Numbers
Category:9591
9592

== Number ==
$9592$ (nine thousand, five hundred and ninety-two) is:
:$2^3 \times 11 \times 109$
:The number of primes with no more than $5$ digits:
::$2$, $3$, $5$, $7$, $11$, $13$, $17$, $19$, $23$, $\ldots$, $99 \, 901$, $99 \, 907$, $99 \, 923$, $99 \, 929$, $99 \, 961$, $99 \, 971$, $99 \, 989$, $99 \, 991$
== Also see ==
* 
Category:Specific Numbers
Category:9592
96

== Number ==
$96$ (ninety-six) is:
:$2^5 \times 3$
:The $2$nd positive integer after $64$ with $6$ or more prime factors:
::$96 = 2 \times 2 \times 2 \times 2 \times 2 \times 3$
:The $4$th even integer after $2$, $4$, $94$ that cannot be expressed as the sum of $2$ prime numbers which are each one of a pair of twin primes
:The $5$th untouchable number after $2$, $5$, $52$, $88$
:The $6$th octagonal number, after $1$, $8$, $21$, $40$, $65$:
::$96 = 1 + 7 + 13 + 19 + 25 + 31 = 6 \paren {3 \times 6 - 2}$
:The $21$st highly abundant number after $1$, $2$, $3$, $4$, $6$, $8$, $10$, $12$, $16$, $18$, $20$, $24$, $30$, $36$, $42$, $48$, $60$, $72$, $84$, $90$:
::$\map {\sigma_1} {96} = 252$
:The $22$nd semiperfect number after $6$, $12$, $18$, $20$, $24$, $28$, $30$, $36$, $40$, $42$, $48$, $54$, $56$, $60$, $66$, $72$, $78$, $80$, $84$, $88$, $90$:
::$96 = 16 + 32 + 48$
:The $28$th positive integer which is not the sum of $1$ or more distinct squares:
::$2$, $3$, $6$, $7$, $8$, $11$, $12$, $15$, $18$, $19$, $22$, $23$, $24$, $27$, $28$, $31$, $32$, $33$, $43$, $44$, $47$, $48$, $60$, $67$, $72$, $76$, $92$, $96$, $\ldots$
:The $48$th positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $61$, $65$, $66$, $67$, $72$, $77$, $80$, $81$, $84$, $89$, $94$, $95$ which cannot be expressed as the sum of distinct pentagonal numbers
:The $51$st (strictly) positive integer after $1$, $2$, $3$, $\ldots$, $77$, $78$, $79$, $84$, $90$, $91$, $95$ which cannot be expressed as the sum of distinct primes of the form $6 n - 1$
:There are $17$ positive integers which have an Euler $\phi$ value $96$.
== Also see ==
* Numbers with Euler Phi Value of 96
* 
* 
* 
* 
* 
* 
* 
* 
* 
== Sources ==
* : $96$
* : $96$
Category:Specific Numbers
Category:96
96,702

== Number ==
$96 \, 702$ (ninety-six thousand, seven hundred and two) is:
:$2 \times 3 \times 71 \times 227$
:The larger of the $3$rd pandigital pair, with $58 \, 413$, of integers each have squares which are themselves pandigital:
::$58 \, 413^2 = 3 \, 412 \, 078 \, 569$, $96 \, 702^2 = 9 \, 351 \, 276 \, 804$
== Also see ==
* 
== Sources ==
* : $57,321$
Category:Specific Numbers
Category:96,702
960

== Number ==
$960$ (nine hundred and sixty) is:
:$2^6 \times 3 \times 5$
:The $43$rd highly abundant number after $1$, $2$, $3$, $4$, $6$, $8$, $10$, $\ldots$, $210$, $216$, $240$, $288$, $300$, $336$, $360$, $420$, $480$, $504$, $600$, $630$, $660$, $720$, $840$:
::$\map {\sigma_1} {960} = 3048$
== Also see ==
* 
Category:Specific Numbers
Category:960
9604

== Number ==
$9604$ (nine thousand, six hundred and four) is:
:$2^2 \times 7^4$
:The $36$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $\ldots$, $5184$, $5776$, $6084$, $6400$, $7056$, $7744$, $8100$, $9216$ to be the divisor sum value of some (strictly) positive integer:
::$9604 = \map {\sigma_1} {5044}$
:The $98$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $7396$, $7569$, $7744$, $7921$, $8100$, $8281$, $8464$, $8649$, $8836$, $9025$, $9216$, $9409$
::$9604 = 98 \times 98$
== Also see ==
* 
* 
Category:Specific Numbers
Category:9604
961

== Number ==
$961$ (nine hundred and sixty-one) is:
:$31^2$
:The $12$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $324$, $400$, $576$, $784$, $900$ to be the divisor sum value of some (strictly) positive integer:
::$961 = \map {\sigma_1} {400}$
:The $31$st square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $625$, $676$, $729$, $784$, $841$, $900$:
::$961 = 31 \times 31$
== Also see ==
* 
* 
Category:Specific Numbers
Category:961
9633

== Number ==
$9633$ (nine thousand, six hundred and thirty-three) is:
:$3 \times 13^2 \times 19$
:The $57$th octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $7701$, $8008$, $8321$, $8640$, $8965$, $9296$:
::$9633 = \ds \sum_{k \mathop = 1}^{57} \paren {6 k - 5} = 57 \paren {3 \times 57 - 2}$
== Also see ==
* 
Category:Specific Numbers
Category:9633
9634

== Number ==
$9634$ (nine thousand, six hundred and thirty-four) is:
:$2 \times 4817$
:The $20$th non-square positive integer which cannot be expressed as the sum of a square and a prime:
::$10$, $34$, $58$, $85$, $91$, $130$, $214$, $226$, $370$, $526$, $706$, $730$, $771$, $1255$, $1351$, $1414$, $1906$, $2986$, $3676$, $9634$, $\ldots$
== Also see ==
* 
Category:Specific Numbers
Category:9634
9642

== Number ==
$9642$ (nine thousand, six hundred and forty-two) is:
:$3 \times 3 \times 1607$
:With $87531$, forms the largest integer that can be obtained by multiplying $2$ integers which between them use all the digits from $1$ to $9$
::$9642 \times 87531 = 843 \, 973 \, 902$
== Also see ==
* Largest Product of Pandigital Factors
== Sources ==
* : $9642$
* : $9642$
Category:Specific Numbers
Category:9642