English

Collatz mapping on $\mathbb{Z}/10\mathbb{Z}$

General Mathematics 2021-12-09 v2

Abstract

We introduce the \emph{Collatz conjecture} and its history. Some definition that this conjecture has, will be expressed and with these we try to explain some good lemma to justify the main properties of the \emph{Collatz conjecture}. With these lemmas a situation made to go through to write some mainly properties of Collatz graph on Z/10Z\mathbb{Z}/10\mathbb{Z}. Then with something provided it will go to draw the graph on Z/10Z\mathbb{Z}/10\mathbb{Z}.

Cite

@article{arxiv.2102.02650,
  title  = {Collatz mapping on $\mathbb{Z}/10\mathbb{Z}$},
  author = {Benyamin Khanzadeh Holasou},
  journal= {arXiv preprint arXiv:2102.02650},
  year   = {2021}
}
R2 v1 2026-06-23T22:50:22.372Z