Collatz Conjecture - The Proof

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In this paper, we prove the Collatz conjecture. We show that if a given number can be represented in a form of a certain specific equation then Collatz conjecture is true for that particular number. Next we propose a procedure that for a given number produces this specific equation and we prove that for every initial positive integer, such equation can be found.

https://www.researchgate.net/publication/351347153_COLLATZ_CONJECTURE_-THE_PROOF

Pictures below can be helpful in understanding of this proof.

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