Collatz Mapping on \mathbb{Z}_{10}

EasyChair Preprint 7083, version 4

Abstract

The Collatz conjecture, also known as the "3x + 1" problem, is a conjecture in math- ematics that concerns sequences of integer numbers. These sequences start with an arbitrary positive integer, and so each term is obtained from the previous one as follows: if the previous term is even, the next term is one half of this one, and if the previous term is odd, the next term is 3 times the previous one plus 1. The conjecture says that no matter what is the starting value, the sequence will always reach 1.

Keyphrases: 3x+1, Collatz, Mapping

@booklet{EasyChair:7083,
  author    = {Benyamin Khanzadeh Holasou},
  title     = {Collatz Mapping on \mathbb{Z}_{10}},
  howpublished = {EasyChair Preprint 7083},
  year      = {EasyChair, 2021}}