Empirical Collatz Record: A 100-Digit Starting Value with Total Stopping Time 3534

This technical note documents a new empirical record in the Collatz (3n+1) iteration. A specific 100-digit starting value is shown to reach 1 after 3534 steps—the longest total stopping time known to date. The full trajectory has been verified, and a cryptographic SHA-256 hash is included to ensure reproducibility. This publication serves as a timestamped, citable record of the discovery. A short Python script has been provided for verification.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-06
DOI
https://doi.org/10.5281/zenodo.15162211
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
0.00
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article

Empirical Collatz Record: A 100-Digit Starting Value with Total Stopping Time 3534

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

Empirical Collatz Record: A 100-Digit Starting Value with Total Stopping Time 3534

article en

Abstract

This technical note documents a new empirical record in the Collatz (3n+1) iteration. A specific 100-digit starting value is shown to reach 1 after 3534 steps—the longest total stopping time known to date. The full trajectory has been verified, and a cryptographic SHA-256 hash is included to ensure reproducibility. This publication serves as a timestamped, citable record of the discovery. A short Python script has been provided for verification.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 49%
Benford’s Law and Fraud Detection
DOIOpen Access PDFOpenAlex
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Empirical Collatz Record: A 100-Digit Starting Value with Total Stopping Time 3534 · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS