NumberADay
Monday, March 31, 2014

9727

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9727 = 71 x 137. 9727 is 302402 in base 5. 9727 divides 72 17 - 1. 9727 is a number that cannot be written as the sum of three square...
Friday, March 28, 2014

8361

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8361 = 3 x 3 x 929. 8361 is a Leyland number  ( A076980 ). 8361 is a number of form 2 n + n 2 for n = 13 ( A001580 ). The sum of t...
Thursday, March 27, 2014

9645

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9645 = 3 x 5 x 643. 9645 is 302040 in base 5. It is 22655 in base 8. 9645 is the number of partitions of 50 such that (greatest part) - ...
Wednesday, March 26, 2014

1997

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1997 is a prime number. 1997 and 1999 form a twin prime pair. The 1997 substrings 199 and 997 are also primes ( A069489 ). 1997 rema...
Tuesday, March 25, 2014

1959

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1959 = 3 x 653. 1959 is 132213 in base 4. It is 13023 in base 6. 1959 is a number n such that n 1 n and 1 n 1 are both prime (19591195...
Monday, March 24, 2014

2828

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2828 = 2 x 2 x 7 x 101. 2828 is a value of n such that n ( n + 8) is a palindrome ( A028567 ): 2828 x 2836 = 8020208. 2828 is the num...
Friday, March 21, 2014

4410

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4410 = 2 x 3 x 3 x 5 x 7 x 7. 4410 is a Padovan number  ( A000931 ). 4410 is 120120 in base 5. 4410 is a concentric decagonal number (...
Thursday, March 20, 2014

1922

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1922 = 2 x 31 x 31. 1922 has a representation as a sum of two squares ( A081324 ): 1922 = 31 2 + 31 2 . 1992 in base 5 contains each of...
Wednesday, March 19, 2014

2576

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2576 = 2 x 2 x 2 x 2 x 7 x 23. 2576 has exactly the same digits in three different bases: 40301 in base 5, 10340 in base 7, and 00431 in b...
Tuesday, March 18, 2014

9416

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9416 = 2 x 2 x 2 x 11 x 107. 9416 is a value of n for which n and 8 n  (75328) together use each digit from 1 to 9 exactly once. 9416...
Monday, March 17, 2014

1889

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1889 is a prime number. It is a Sophie Germain prime because 2 x 1889 + 1= 3779 is also prime ( A005384 ). 1889 is the smallest prime such...
Friday, March 14, 2014

9201

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9201 = 3 x 3067. 9201 is a semiprime equidistant from and between the primes 9199 and 9203 ( A125215 ). 9201 is palindromic in base 2 (b...
Thursday, March 13, 2014

5503

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5503 is a prime number. 5501 and 5503 form a twin prime pair. 5503 is 1111333 in base 4 ( A045132 ). 5503 is a prime whose base 7 rep...
Wednesday, March 12, 2014

9957

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9957 = 3 x 3319. 9957 uses the digits 0, 1, 3, and 4 in bases 6 (114033) and 7 (41013). 9957 is the number of homeomorphically irreducib...
Tuesday, March 11, 2014

1860

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1860 = 2 x 2 x 3 x 5 x 31. 1860 is the number of ways to 12-color the faces of a tetrahedron ( A006008 ). 1860 uses each of the digits ...
Monday, March 10, 2014

1844

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1844 = 2 x 2 x 461. 1844 is a number of the form 3 n - n 3 for n = 7 ( A024026 ). 1844 is the sum of ten nonzero 6th powers ( A00336...
Friday, March 7, 2014

1826

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1826 = 2 x 11 x 83. The sum of the prime factors of 1826  is equal to product of its digits: 2 + 11 + 83 = 1 x 8 x 2 x 6 = 96. 1826 uses...
Thursday, March 6, 2014

6718

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6718 = 2 x 3359. There are 6718 digits in the binary representation of the 26th prime Fibonacci number ( A215367 ). The sum of the 671...
Wednesday, March 5, 2014

6611

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6611 = 11 x 601. 6611 is a value of n such that the n th Cullen number is prime ( A005849 ). 6611 is the number of primes between 3,40...
Tuesday, March 4, 2014

7437

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7437 = 3 x 37 x 67. 7437 divides 68 4 - 1. 7437 arises in the sequence that starts with 1013, repeatedly reversing the digits and addin...
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