Thursday, February 17, 2011

714

714 = 2 x 3 x 7 x 17.

The sum of the prime factors of 714 is 2 + 3 + 7 + 17 = 29, and the sum of the prime factors of 715 (5 x 11 x 13) is 5 + 11 + 13 = 29. These numbers are known as Ruth-Aaron pairs.

714 is the smallest number that has equal numbers of every digit in bases 2 and 5: 1011001010 and 10324.

510,510 = 2 x 3 x 5 x 7 x 11 x 13 x 17 (the first seven prime numbers) = 714 x 715 (two consecutive numbers) = 13 x 21 x 34 x 55 (four consecutive Fibonacci numbers).

714 is the sum of twelve consecutive prime numbers: 714 = 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83.

Babe Ruth hit 714 home runs in his baseball career.

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