Sunday 5 February 2012

Sunday, 5 February 2012

Today is 36 day of the year.
36 = 2^2 x 3^2, thus 36 is a powerful number.
36 = 17 + 19 = 5 + 7 + 11 + 13, 36 can be expressed as the sum of consecutive primes in two ways.
36 is the smallest number that can be expressed as the sum of consecutive primes in more than one way.
36 is a square number.
36 is a triangular number.
36 is the only triangular number whose square root is a triangular number, proof anyone?
36 = 1^3 + 2^3 + 3^3 (Sloane's A000537)
36 is a member of two primitive, Pythagorean triples (36, 77, 85) and (36, 323, 325)
There are 36 different tilings of a four by four chess board with dominoes.
36 is the smallest number with exactly 9 divisors; 1, 2, 3, 4, 6, 9, 12, 18, 36.

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