Iterative calculation values in the Collatz conjecture eventually reach 1 as if walking across tightropes: Physical meaning of the ratio R
The ratio R, defined as the ratio of the number of even integers to the number of odd integers minus one that appear in the iterative process of the Collatz conjecture, can serve as a criterion for determining whether the iterated values eventually reach 1. This paper explains the physical meaning of R from the perspective of tightrope walking along Collatz ropes.
Authors
- Fumihidé Shiraishi (ORCID: https://orcid.org/0000-0003-0053-9922)
Institutions
- Kyushu University (JP)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-04
- DOI
- https://doi.org/10.5281/zenodo.23938488
- Primary Topic
- Smarandache Functions and Recreational Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00