I'm offering 100,000 CE to anyone who can PROVE or provide a counter example to the Collatz Conjecture.

Take any natural number n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Repeat the process indefinitely. The conjecture is that no matter what number you start with, you shall always eventually reach 1

http://en.wikipedia.org/wiki/Collatz_conjecture

So can you do it?

Well, if you accept 0 as a natural number, then the Collatz Conjecture doesn't work because 0 divided by 2 is still 0. Can haz 100k ce, plox? ;)