NumberADay
Tuesday, July 31, 2012

121

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121 = 11 x 11. 121 is the smallest multidigit palindromic square. It is also the smallest palindromic composite such that some permutation...
Monday, July 30, 2012

802

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802 = 2 x 401. 802 is the number of ways to toss a coin 10 times and not get a run of five ( A135492 ). 802 has a representation as a s...
Friday, July 27, 2012

401

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401 is a prime number. 401 is the start of the first occurrence of three consecutive primes using no prime digits: 401 , 409, 419 . 401 ...
Thursday, July 26, 2012

783

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783 = 3 x 3 x 3 x 29. 783 is a heptagonal number . 783 is the number of 11-ominoes that tile the plane by translation. 783 3 = 480,0...
Wednesday, July 25, 2012

679

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679 = 7 x 97. 679 is the smallest number with multiplicative persistence 5 ( A003001  and A064869 ). 679 is the sum of three consecut...
Tuesday, July 24, 2012

494

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494 = 2 x 13 x 19. 494 has the representation 494 = 2 9 - 18. The product of the first 494 composite numbers minus 1 is prime. 494 +...
Monday, July 23, 2012

868

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868 = 2 x 2 x 7 x 31. 4 868 - 3 is a prime number. 868 has a square root whose decimal part starts with the digits 1 to 9 in some order...
Friday, July 20, 2012

396

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396 = 2 x 2 x 3 x 3 x 11. 396 is a nonagonal number . 396 is the number of positions in a 3 x 3 sliding puzzle that require exactly 11 ...
Thursday, July 19, 2012

296

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296 = 2 x 2 x 2 x 37. 296 is the number of integer partition s of 30 into distinct parts. 296 has a representation as a sum of two squar...
Wednesday, July 18, 2012

252

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252 = 2 x 2 x 3 x 3 x 7. 252 is the smallest number that is the product of two distinct numbers that are reverse of each other: 252 = 12 x...
Tuesday, July 17, 2012

574

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574 = 2 x 7 x 41. 574 is the maximum number of pieces into which a torus can be cut by 14 slices. 574 is 210021 in base 3. It is 707 in ...
Monday, July 16, 2012

759

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759 = 3 x 11 x 23. It is the product of three distinct Sophie Germain primes ( A157346 ). 759 is 1001010 in base 3. It is 3303 in base 6 ...
Friday, July 13, 2012

662

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662 = 2 x 331. 662 is a divisor of 31 3 - 1. 662 is the index of the smallest triangular number that contains the digits 1, 2, 3, 4, a...
Thursday, July 12, 2012

753

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753 = 3 x 251. 753 is a divisor of 20 10 - 1. 753 is the smallest composite number that you can get by concatenating all odd primes up ...
Wednesday, July 11, 2012

139

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139 is a prime number. 137  and 139 form a twin prime pair. 139 is a divisor of 42 3 - 1. 139 is the smallest prime that retains the...
Tuesday, July 10, 2012

370

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370 = 2 x 5 x 37. 370 is a decagonal number  ( A001107 ). 370 /(3 + 7 + 0) = 37 is prime. 370 = 37 x (3 + 7) = 3 3 + 7 3 . It is an A...
Monday, July 9, 2012

946

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946  = 2 x 11 x 43. 946  is the 43rd  triangular number  ( A000217 ). It is the sum of all integers from 1 to 43. 946  is also a  hexag...
Friday, July 6, 2012

224

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224 = 2 x 2 x 2 x 2 x 2 x 7. 224 has a unique representation as a sum of three squares: 224 = 4 2 + 8 2 + 12 2 . 224 is an abundant nu...
Thursday, July 5, 2012

635

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635 = 5 x 127. 635 is a number whose 5th root has a decimal part that begins with 635 (3. 635 42128. . .). 635 4 = 162590400625, a conc...
Tuesday, July 3, 2012

732

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732 = 2 x 2 x 3 x 61. 732 = 1 7 + 2 6 + 3 5 + 4 4 + 5 3 + 6 2 + 7 1 . 732 = 3 6 + 3. 732 is a divisor of 13 3 - 1. 732 is 44...
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