Thursday, September 25, 2014

1825

1825 = 5 x 5 x 73.

1825 is an octagonal number (A000567).

1825 is the smallest number whose square begins with three 3s (A131573 and A025286 and A025304 and A034982).

1825 has three representations as a sum of two squares (A025313): 1825 = 122 + 412 = 152 + 402 = 232 + 362.

1825 is the hypotenuse of two primitive Pythagorean triples: 18252 = 7672 + 16562 = 9842 + 15372.

1825 divides 742 - 1.


Source: What's Special About This Number?

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