The 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 (which has been called "Half Or Triple Plus One") indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach 1. ------------ The Collatz conjecture has not been demonstrated yet. If you've tried a number that does not confirm it, write this number in comment, please! It is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. It is also known by the Syracuse problem:
I have known it in a book given by my friend mathjp, but you can read it here: http://en.wikipedia.org/wiki/Collatz_conjecture#Rigorous_bounds Jun 2014