Tuesday, January 15, 2013

587

587 is a prime number.

587 is the smallest number whose sum of digits (20) is larger than that of its cube (5873 = 202262003; 17).

587 is the number of 10-smooth numbers up to 105. An integer is 10-smooth if all its prime factors are less than or equal to 10.

Add 587 zeros between the 9 and the 7 in the prime number 97 to obtain a 589-digit prime.

587 is the sum of five consecutive primes: 587 = 107 + 109 + 113 + 127 + 131.


Nickel Plate Road No. 587 (at the Indiana Transportation Museum) is an example of a United States Railroad Administration light Mikado steam locomotive.

Source: Number Gossip

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