Cool property of the number $24$ Recently I've had my 24th birthday, and a friend commented that it was a very boring number, going from 23 which is prime, 25 which is the first number that can be written as the sum of 2 different pairs of squared integers $3^2+4^2 =0^2+5^2 =25$, 24 seems like a very boring number
however, it seems to have a very special property
Theorem: product of 4 positive consecutive numbers is divisible by 24.
I managed to prove this via long and dry induction, not very interesting. I wonder if anyone can propose a different more elegant and witty proof, rather than dry algebra like me.

24 is a very special integer number in many regards. John Baez has a nice pdf file about it: [ http://math.ucr.edu/home/baez/numbers/24.pdf ], and there is a very good Youtube video you can watch: https://www.youtube.com/watch?v=vzjbRhYjELo
