NumberADay
Thursday, December 18, 2014

7894

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7894 = 2 x 3947. 7894 is a number n for which n and 8 n together use each digit from 1 to 9 exactly once ( A115932 ). 7894 is the num...
Wednesday, December 17, 2014

3740

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3740 = 2 x 2 x 5 x 11 x 17. 3740  is the sum of consecutive squares in two ways ( A062681 ). 3740 is 25152 in base 6 and 5115 in base 9...
Tuesday, December 16, 2014

1834

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1834 = 2 x 7 x 131. 1834 is an octahedral number  ( A005900 ). 1834 is the sum of the cubes of the first five primes ( A098999 ). 183...
Monday, December 15, 2014

7799

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7799 = 11 x 709. 7799 is a semiprime made up of two rums of identical digits ( A116063 ). 7799 is the least semiprime whose sum of prim...
Friday, December 12, 2014

6723

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6723 = 3 x 3 x 3 x 3 x 83. 6723 is a value of n for which 3 n and 8 n together use each digit from 0 to 9 exactly once. 6723 is 25413 ...
Thursday, December 11, 2014

6675

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6675 = 3 x 5 x 5 x 89. 6675 is a composite number that is the sum of two, three, four, and five consecutive composite numbers ( A151745 )....
Wednesday, December 10, 2014

4351

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4351 = 19 x 229. The sum of the digits of 4351 is equal to the sum of the digits of its largest prime factor ( A219340 ). 4351 is a cen...
Tuesday, December 9, 2014

4347

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4347 = 3 x 3 x 3 x 7 x 23. 4347 is a heptagonal number ( A000566 ). It is also a pentagonal number ( A049452 ). 4347 is the concatenati...
Monday, December 8, 2014

5481

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5481 = 3 x 3 x 3 x 7 x 29. 5481 is 1956 in base 15 and 1569 in base 16. 5481 is the average of four consecutive odd squares ( A173960 )....
Friday, December 5, 2014

4100

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4100 = 2 x 2 x 5 x 5 x 41. 4100 is 5555 in base 9. It is 12121212 in base 3 ( A037480 and  A162216 ). 4100 is a multiple of 5 with a d...
Thursday, December 4, 2014

8242

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8242 = 2 x 13 x 317. Concatenating 8242 with 1 less than 8242 produces a square ( A054214  and A054215 ): 8242 8241 = 9079 2 . The base ...
Wednesday, December 3, 2014

1821

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1821 = 3 x 607. 1821 is a number that yields a prime whenever 1 is inserted anywhere in it, including at the beginning or end ( A068679  a...
Tuesday, December 2, 2014

3500

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3500 = 2 x 2 x 5 x 5 x 5 x 7. 3500 is a number that is the sum of two positive cubes and divisible by 7 ( A101421 ) and divisible by 5 (...
Monday, December 1, 2014

3048

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3048 = 2 x 2 x 2 x 3 x 127. 3048 is a number that can be expressed as the difference of the squares of primes in just two distinct ways (...
Wednesday, November 26, 2014

2445

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2445 = 3 x 5 x 163. 2445 is a truncated tetrahedral number  ( A005906 ). 2445 is a number n such that n ! has a square number of dig...
Tuesday, November 25, 2014

1795

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1795 = 5 x 359. 1795 , 1797, and 1799 are consecutive semiprimes ( A133609 ). 1795 is the product of two distinct safe primes ( A157352...
Monday, November 24, 2014

1792

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1792 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7. 1792 is a Friedman number  ( A036057 ). 1792 is the maximum number of pieces obtained by sli...
Friday, November 21, 2014

5101

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5101 is a prime number. 5099 and 5101 form a twin prime pair. 5101 is the initial prime in a set of four consecutive primes with common...
Thursday, November 20, 2014

3001

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3001 is a prime number. 2999 and 3001 form a twin prime pair. 3001 is a prime whose digit sum is 4 ( A062339 ). It is the largest 4-di...
Wednesday, November 19, 2014

1785

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1785 = 3 x 5 x 7 x 17. 1785 is a multiple of 7 such that its digit sum is divisible by 7 ( A216994 ). 1785 is a square pyramidal numbe...
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