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<b>In 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.</b>

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.25845709.v13
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
0.00
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Benford’s Law and Fraud Detection
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Abstract

<b>In 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.</b>

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Openalex Percentile: Top 49%
Benford’s Law and Fraud Detection
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<b>.NaN</b> · Figshare (2025) | TGRS Research Map | TGRS