NumberADay
Friday, December 20, 2013

2014

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2014 = 2 x 19 x 53. 2013 , 2014 , and 2015 each have three distinct prime factors ( A168626 ). 2014 = 13 3 - 13 2 - 13 1 - 13 0 ( A...
Thursday, December 19, 2013

5714

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5714 = 2 x 2857. 5714 is 42242 in base 6 and 22442 in base 7. 5714 is the number of rooted trees with 10 nodes and a single labeled nod...
Wednesday, December 18, 2013

3388

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3388 = 2 x 2 x 7 x 11 x 11. 3388 is 11122111 in base 3. It is 898 in base 20. 3388 and the sum of the digits of 3388 are both multiples ...
Tuesday, December 17, 2013

2315

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2315 = 5 x 463. 2315 divides 21 3 - 1. 2315 = 2 7 + 3 7 ( A007689 ). It is the sum of the seventh powers of two consecutive primes ( ...
Monday, December 16, 2013

8400

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8400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7. 8400 is a number with four distinct prime factors {2, 3, 5, 7} ( A147571 ). 8400 is a pentagonal ...
Friday, December 13, 2013

8223

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8223 = 3 x 2741. 8223 is the smallest number having exactly two odd prime factors that differ by 2 x n 2 , for n = 37 ( A190052 ). 8223...
Thursday, December 12, 2013

3183

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3183 = 3 x 1061. 3183 is the next semiprime after the partial sum of the first 46 semiprimes ( A182081 ). 3183 has the representation 5 ...
Wednesday, December 11, 2013

689

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689 = 13 x 53. 689 is the smallest strobogrammatic brilliant number . Deleting the middle digit gives the smallest strobogrammatic semipr...
Tuesday, December 10, 2013

897

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897 = 3 x 13 x 23. It is the only sphenic number with prime factors of the form p ( p + 10)( p + 20). 897 is divisible by the sum of its...
Monday, December 9, 2013

2005

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2005 = 5 x 401. 2005 is a semiprime that is the sum of four successive semiprimes ( A158339 ). 2005 = 1 + 2 x 3 1 + 3 x 3 2 + 4 x 3 3...
Friday, December 6, 2013

637

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637 = 7 x 7 x 13. 637 is a decagonal number . 637 is 777 in base 9. It is 212121 in base 3 and 1600 in base 7. 637 has a representatio...
Thursday, December 5, 2013

5415

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5415 = 3 x 5 x 19 x 19. 5415 is a number n such that n and its reversal (5145) are both multiples of 15 ( A062905 ). 5415 is a number...
Wednesday, December 4, 2013

9595

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9595 = 5 x 19 x 101. 9595 is the sum of seven distinct powers of 3 ( A038469 ): 9595 = 3 8 + 3 7 + 3 6 + 3 4 + 3 3 + 3 2 + 3 0 . ...
Tuesday, December 3, 2013

5600

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5600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7. It is the product of three distinct primes ( A179691 ). 5600 is a number with 36 divisors ( A175746 ...
Monday, December 2, 2013

1794

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1794 = 2 x 3 x 13 x 23. 1794 is a nonagonal number  ( A001106 ). 1794 is a cake number ( A000125 ). 1794 is the number of pieces resulti...
Wednesday, November 27, 2013

1749

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1749 = 3 x 11 x 53. It is the product of three distinct Sophie Germain primes A157346 ). The sum of the three distinct prime factors is itse...
Tuesday, November 26, 2013

3736

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3736 = 2 x 2 x 2 x 467. 3736 is a member of the Fibonacci-like sequence beginning with 13 and 8 ( A206610 ). 3736 is a number that is t...
Monday, November 25, 2013

790

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790 = 2 x 5 x 79. 790 is the smallest of four consecutive integers divisible by four consecutive primes respectively ( A073607  and A07255...
Friday, November 22, 2013

806

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806 = 2 x 13 x 31. 806 is not the sum of a square, a cube, a fourth power, and a fifth power. 806 expressed in base 3 (1002212) and base...
Thursday, November 21, 2013

610

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610 = 2 x 5 x 61. 610 is the 15th Fibonacci number  ( A000045 ). It is the smallest Fibonacci number that begins with 6. 610 is 747 in b...
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