Ok fellow gobblers at the chalice of math, how the FUCK do we take down the Collatz once and for all?

I want answers.

As I see it, our task is to prove that 3n + 1 always leads to a new odd number that is being multiplied by a power of 2 (until the odd number in 3n + 1 is one). How the FUCK do we do that?

How do I prove that feeding 3n + 1 any odd number other than 1 will lead to a different odd number multiplied by a power of 2, and that each 3n + 1 ing in the chain (other than 1), will not repeat.

GIMME SOME FUCKING ANSWERS. PLEASE
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