The Collatz Conjecture

The Collatz Conjecture is also known as the Ulam Conjecture, Kakutani's Problem, the Thwaites Conjecture, Hasse's Algorithm, the Syracuse Problem and the 3n+1 Conjecture.

The conjecture starts with the following algorithm:
Nominate any positive number. If the number is odd, multiply by 3 then add 1. This will always result in an even number. Divide this even number by 2 until the result is odd. Then multiply by 3 and add 1. Then divide by 2 until the result is odd. Continue this process.

The conjecture states that regardless of the starting number, the result will converge to the same loop: 4 - 2 - 1

The Collatz Conjecture is a mathematics problem that has to date not been definitively proven.

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