Lemma of Collatz conjection

Here we prove that anynatural number before getting the loop 3->2->1->3->2->1... in binary looks like 10101(01). This note is not a proof of the Collatz conjecture.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22749799
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
0.00
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article

Lemma of Collatz conjection

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

Lemma of Collatz conjection

Igor Tsirulnikov
article en

Abstract

Here we prove that anynatural number before getting the loop 3->2->1->3->2->1... in binary looks like 10101(01). This note is not a proof of the Collatz conjecture.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 8%
Benford’s Law and Fraud Detection
DOIOpen Access PDFOpenAlex
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