The Collatz Conjecture

The Collatz conjecture states any positive integer will eventually reach 1 if you repeatedly apply a simple set of rules: if the number is even, divide it by two; if it is odd, multiply it by three and add one. The conjecture is till unproven due to its difficult binary nature between even and odd sequence values. However, a new trigonometric method is proposed to give a general proof that a Collatz sequence always end up at 1. The general path of the proof is similar to Euclid’s proof of the infinitude of primes by ascension.