A Proof of the Collatz Conjecture

The author proposes a simple and straightforward proof of the Collatz conjecture that has not yet been suggested. The basic idea behind this study is that even if the sequence of Collatz operation is very long and convoluted, each individual calculation instruction has been stored in the integer that is initially given. Based on this idea, the fact that all the Collatz sequences share an ultimate common subsequence was unveiled.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-09
DOI
https://doi.org/10.5281/zenodo.17561589
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
0.00
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article

A Proof of the Collatz Conjecture

Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
article

A Proof of the Collatz Conjecture

article en

Abstract

The author proposes a simple and straightforward proof of the Collatz conjecture that has not yet been suggested. The basic idea behind this study is that even if the sequence of Collatz operation is very long and convoluted, each individual calculation instruction has been stored in the integer that is initially given. Based on this idea, the fact that all the Collatz sequences share an ultimate common subsequence was unveiled.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 35%
Benford’s Law and Fraud Detection
DOIOpen Access PDFOpenAlex
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A Proof of the Collatz Conjecture · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS