Wednesday, September 22, 2010

153

As a triangular number(1), 153 is the sum of the first 17 integers:

1+2+3+...+17 = 153

153 is the sum of the first five positive factorials:

1! + 2! + 3! + 4! + 5! = 153

153 is the smallest number which can be expressed as the sum of cubes of its own digits:

153 = 1^3 + 5^3 + 3^3
= 1 + 125 + 27
= 153

And also for 153, we have:

153 - (1+5+3) = (15-3) * (15-3)

which can be used to make a Trick Play!

If you are interested in making Trick Plays then you may also employ the following magic of 153:

(1+5+3) * (1+5+3) = [153 + (1+5+3)] / 2



(1) Triangular Number: A triangular number is the number of balls in an equilateral triangle evenly filled with balls.

For example, three balls can be arranged in a triangle; thus three is a triangle number:

` O
`O O


6 is also a triangular number:

`` O
` O O

`O O O