NumberADay
Friday, May 31, 2013

399

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399 = 3 x 7 x 19. 399 is 333 in base 11. 399 is the total number of parts in all partitions of 12. 399 is the smallest Lucas-Carmicha...
Thursday, May 30, 2013

608

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608 = 2 x 2 x 2 x 2 x 2 x 19. 608 is a number that has no digits in common with its cube (224,755,712). 608 is 211112 in base 3 ( A0141...
Wednesday, May 29, 2013

906

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906 = 2 x 3 x 151. 906 is the number of perfect graphs with 7 vertices. 906 = 2 5 x 3 3 + 42. 906 is an even number that is not th...
Tuesday, May 28, 2013

1474

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1474 = 2 x 11 x 67. 1474 is a member of a Fibonacci-like sequence starting with 2 and 9. 1474 is the difference between the product of ...
Friday, May 24, 2013

690

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690 = 2 x 3 x 5 x 23. 690 is the smallest number that can be written as the sum of a triangular number , a cube , and a Fibonacci number ...
Thursday, May 23, 2013

1337

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1337 = 7 x 191. 1337 is a number with exactly two palindromic prime factors and no other prime factors ( A046368 ). 1337 is the smalles...
Wednesday, May 22, 2013

862

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862 = 2 x 431. 862 is a number whose sum of divisors is a fourth power: 1 + 2 + 431 + 862 = 1296 = 6 4 . 862 is the maximum number of r...
Tuesday, May 21, 2013

2220

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2220 = 2 x 2 x 3 x 5 x 37. 2220 is a divisor of 31 4 - 1. 2220 is a multiple of six and the sum of its digits is also six ( A062768 ). ...
Monday, May 20, 2013

1401

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1401 = 3 x 467. 1401 , 1402, and 1403 are each the product of two primes (semiprimes) ( A056809 ). 1401 , 1403, and 1405 are each the prod...
Friday, May 17, 2013

761

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761 is a prime number. It is a Sophie Germain prime because 2 x 761 + 1 = 1523 is also prime. 761 is a centered square number . 761 is ...
Thursday, May 16, 2013

341

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341 = 11 x 31. 341 is 101010101 in base 2 (binary). It is 11111 in base 4. 341 is an octagonal number  and a  centered cube number . ...
Wednesday, May 15, 2013

734

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734 = 2 x 367. 734 is the smallest number that can be written as the sum of three distinct non-zero squares in ten ways. 734 is the sum...
Tuesday, May 14, 2013

971

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971 is a prime number. 971 is the largest prime containing only odd digits, in decreasing order. 971 is the largest prime formed from...
Monday, May 13, 2013

5038

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5038 = 2 x 11 x 229. 5038 is the sum of two distinct prime cubes ( A120398 ): 5038 = 17 3 + 5 3 . 5038 is the least nontrivial multiple...
Friday, May 10, 2013

556

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556 = 2 x 2 x 139. 556 is the total number of parts in all partitions of 13. 556 are the first three digits of 4 556 . 556 is the su...
Thursday, May 9, 2013

1771

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1771 = 7 x 11 x 23. 1771 is the smallest of three consecutive numbers that are products of exactly three primes ( A113789 ). 1771 is t...
Wednesday, May 8, 2013

1573

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1573 = 11 x 11 x 13. 1573  is a value of  n  for which  n , 2 n , 3 n , and 4 n  all use the same number of digits in Roman numerals. 15...
Tuesday, May 7, 2013

585

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585 = 3 x 3 x 5 x 13. 585 is 1001001001 in base 2 (binary) and 1111 in base 8. It is a palindrome in base 2, base 8, and base 10. 585 i...
Monday, May 6, 2013

9966

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9966 = 2 x 3 x 11 x 151. It has exactly four distinct palindromic prime factors ( A046402 ). 9966 is the largest four-digit  strobogramma...
Friday, May 3, 2013

984

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984 = 2 x 2 x 2 x 3 x 41. 984 is a divisor of 83 2 - 1. 984 = 8 + 88 + 888 . 984 is a number n such that 1 + n + n 3 + n 5 + ...
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