Tuesday, November 25, 2008

1225

1225 is the product of the square of 5 and the square of 7 and hence is the square of 35. It is the product of the squares of two consecutive primes, 5 and 7.

1225 has a representation as a sum of two squares: 1225 = 212 + 282.

1225 is the smallest number with three representations as a sum of four positive cubes: 1225 = 13 + 23 + 63 + 103 = 33 + 73 + 73 + 83 = 43 + 63 + 63 + 93.

1225 is a triangular square number; it is both a perfect square and a triangular number. 1225 is also a hexagonal number.

A representation of consecutive hexagonal numbers.


Pere Marquette 1225 is a steam locomotive.

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