NumberADay
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...
Wednesday, November 20, 2013

4949

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4949 = 7 x 7 x 101. 4949 has semiprime digits ( A111494 ). 4949 is a number whose consecutive digits differ by 5 ( A048407 ). 4949 is...
Tuesday, November 19, 2013

5770

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5770 = 2 x 5 x 577 . The digits of the square of 5770 each occur twice ( A052049 ): 5770 2 = 33292900. 5770 is an integer that can be ...
Monday, November 18, 2013

5410

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5410 = 2 x 5 x 541 . 5410 is the product of three distinct primes a , b , and c such that a 2 + b 2 + c 2 is the average of a twin pri...
Friday, November 15, 2013

794

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794 = 2 x 397 . 794 = 1 6 + 2 6 + 3 6 ( A001550  and A000540 ). 794 is the maximal number of regions obtained by joining 13 points ar...
Thursday, November 14, 2013

849

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849 = 3 x 283. 849 is the sum of distinct factorials ( A059590 ): 849 = 6! + 5! + 3! + 2! + 1! 849 is a powerful number; it is the sum ...
Wednesday, November 13, 2013

2301

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2301 = 3 x 13 x 59. 2301 has the same digits in bases 4 (20331), 5 (33201), and 10 (2301).  2301  is 6465 in base 7. 2301 is a nonagonal...
Tuesday, November 12, 2013

4511

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4511 = 13 x 347 . 4511 = 4444 + 55 + 11 + 1. 4511 is the smallest positive number that can be written as the sum of distinct Fibonacci n...
Monday, November 11, 2013

766

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766 = 2 x 383 . 766 is a centered pentagonal number  ( A005891 ). 766 is the number of series-reduced planted trees with 9 leaves ( A0...
Friday, November 8, 2013

9661

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9661 is a prime number. 9661 is the lower prime of a difference of 16 between consecutive primes ( A031934 ). 9661 has a representation ...
Thursday, November 7, 2013

4178

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4178 = 2 x 2089. 4178 is a number such that its digit sum in base 2 (4) and its digit sum in base 10 (20) are in the ratio of 2:10 ( A1351...
Wednesday, November 6, 2013

3176

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3176 = 2 x 2 x 2 x 397. 3176 is a composite number such that exactly eight permutations of its digits give primes ( A163560 ). 3176 is a...
Tuesday, November 5, 2013

5169

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5169 = 3 x 1723. 5169 is a number that can be written using its own digits in order and by using addition and factorial operators ( A1956...
Monday, November 4, 2013

2044

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2044 = 2 x 2 x 7 x 73. 2044 is the number of rectangles with corners on a 9 x 9 grid of points. 2044 is the sum of the cubes of the divi...
Friday, November 1, 2013

840

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840 = 2 x 2 x 2 x 3 x 5 x 7. 840 is the least common multiple of the first 8 positive integers (it is the smallest number divisible by 1 t...
Thursday, October 31, 2013

9090

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9090 = 2 x 3 x 3 x 5 x 101. 9090 has two representations as a sum of two squares: 9090 = 21 2 + 93 2 = 39 2 + 87 2 . 9090 is a diviso...
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