NumberADay
Friday, March 30, 2012

3488

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3488 = 2 x 2 x 2 x 2 x 2 x 109. 3488 has a fifth root that starts 5.11111. . . 3488 is the number of complete squares that fit inside ...
Thursday, March 29, 2012

3480

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3480 = 2 x 2 x 2 x 3 x 5 x 29. 3480 is a Perrin number  ( A001608 ). 3480 is 110110011000 in base 2 (binary). It is 2020 in base 12. 3...
Wednesday, March 28, 2012

361

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361 = 19 x 19. 361 is a centered triangular number  ( A005448 ). It is also a centered octagonal number  ( A016754 ) and a centered decag...
Tuesday, March 27, 2012

841

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841 = 29 x 29. 841 is a centered square number . It is also a centered heptagonal number and a centered octagonal number. 8 41 has a re...
Monday, March 26, 2012

935

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935 = 5 x 11 x 17. 935 is a Lucas-Carmichael number  ( A006972 ). The sum of the divisors of 935 is a square ( A006532 ) and a fourth po...
Friday, March 23, 2012

277

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277 is a prime number. 76729 is the square of the prime  277  and the smallest square with five or more digits that is the concatenation ...
Thursday, March 22, 2012

170

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170 = 2 x 5 x 17. 170 is 10101010 in base 2 (binary). It is 2222 in base 4. 170 has two representations as a sum of two squares: 170 ...
Wednesday, March 21, 2012

926

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926 = 2 x 463. 926 is the smallest number that cannot be formed using each of the digits 1 to 6 at most once, with the operators +, -, x...
Tuesday, March 20, 2012

427

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427 = 7 x 61. 427 has a unique representation as a sum of three squares: 427 = 9 2 + 11 2 + 15 2 . 427 is a value of n for which n...
Monday, March 19, 2012

919

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919  is a prime number. 919  is the 18th  centered hexagonal number  (hex number). 919  is the smallest palindromic number whose sum of di...
Friday, March 16, 2012

1287

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1287 = 3 x 3 x 11 x 13. 1287 is the binomial coefficient C(13,5) ( A000389 ). 1287 is a divisor of 100 3 - 1. 1287   is the smalle...
Thursday, March 15, 2012

1177

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1177 = 11 x 107. 1177 is a heptagonal number . 1177 is the maximum number of regions into which 48 lines divide the plane. 1177 is a n...
Wednesday, March 14, 2012

1041

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1041 = 3 x 347. 1041 is 13131 in base 5 and 545 in base 14. 1041 , 1042, and 1043 are each semiprimes (the product of two primes) ( A0...
Tuesday, March 13, 2012

310

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310 = 2 x 5 x 31. 310 is 1234 in base 6. It is 262 in base 11. 310 is one of six numbers that when squared use the same digits: 310 2 ...
Monday, March 12, 2012

804

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804 = 2 x 2 x 3 x 67. 804 is a 14-gonal (tetradecagonal) number ( A051866 ). Each of 804 , 805 , and 806 has three distinct prime facto...
Friday, March 9, 2012

113

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113 is a prime number. It is a Sophie Germain prime because 2 x 113 + 1 = 227 is also a prime. 113 is the smallest three-digit prime whos...
Thursday, March 8, 2012

865

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865 = 5 x 173. 865 has two representations as a sum of two squares: 865 = 9 2 + 28 2 = 17 2 + 24 2 . 865 is the hypotenuse of two...
Wednesday, March 7, 2012

386

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386 = 2 x 193. 386 has a representation as a sum of two squares: 386 = 5 2 + 19 2 . 386 is a centered heptagonal number. 386 is the ...
Tuesday, March 6, 2012

958

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958 = 2 x 479. 958 is the number of 3-colorable graphs with 5 vertices ( A084279 ). 958 is a Smith number ( A006753 ); the sum of it...
Monday, March 5, 2012

749

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749 = 7 x 107. 749 is the number of ways to divide a 7 x 7 grid of points into two sets using a straight line. The odd powers of 749  a...
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