The effect of the Collatz operation on odd integers of the form 4k-1

ABSTRACT In this paper, we show that odd integers of the form 4k-1 are attributed to odd numbers of the form 4k-3 by the Collatz operation.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-22
DOI
https://doi.org/10.5281/zenodo.15614623
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
0.00
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article

The effect of the Collatz operation on odd integers of the form 4k-1

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

The effect of the Collatz operation on odd integers of the form 4k-1

article en

Abstract

ABSTRACT In this paper, we show that odd integers of the form 4k-1 are attributed to odd numbers of the form 4k-3 by the Collatz operation.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 61%
Benford’s Law and Fraud Detection
DOIOpen Access PDFOpenAlex
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The effect of the Collatz operation on odd integers of the form 4k-1 · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS