English

Collatz Conjecture: Patterns Within

General Mathematics 2022-09-14 v1

Abstract

Collatz Conjecture sequences increase and decrease in seemingly random fashion. By identifying and analyzing the forms of numbers, we discover that Collatz sequences are governed by very specific, well-defined rules, which we call cascades.

Keywords

Cite

@article{arxiv.2209.05995,
  title  = {Collatz Conjecture: Patterns Within},
  author = {H. Nelson Crooks and Chigozie Nwoke},
  journal= {arXiv preprint arXiv:2209.05995},
  year   = {2022}
}

Comments

31 pages, 2 figures

R2 v1 2026-06-28T01:12:49.814Z