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Preprint · viXra · July 13, 2026

Proof of the Collatz Conjecture

Abstract

It is shown that the essence of the Collatz function lies in connecting all natural numbers based on positive odd numbers not divisible by 3. A proof of the Collatzconjecture is obtained by proving that the graph of the Collatz function is a tree with root 1.

Advanced Mathematical TheoriesAnalytic Number Theory ResearchMathematical Dynamics and FractalsCollatz conjectureCollatz functiontree structure

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