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posted on 2025-01-04, 04:26 authored by Héctor Manuel QuezadaHéctor Manuel QuezadaIn this paper, we have presented a proof of the Collatz Conjecture. The proof relies on par?titioning the set of natural numbers into four subsets, each with specific properties under the Collatz function. Using mathematical induction and reasoning about the properties of these subsets, we have shown that every natural number eventually converges to 1 under repeated iteration of the Collatz function.
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Keywords
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