Collatz Map Basics

6 Literature

1

Crandall, Richard E., "On the “3x+1” problem.", Mathematics of computation 32.144 (1978): 1281-1292.

2

Eliahou, Shalom, and Jean-Louis Verger-Gaugry, "The number system in rational base \(3/2\) and the \(3x+ 1\) problem.", Comptes Rendus. Mathématique 363.G4 (2025): 329-336.

3

Everett, C. J., "Iteration of the number-theoretic function \(f(2n)= n, f(2n+1)= 3n+2\).", Advances in Mathematics 25.1 (1977): 42-45.

4

Lagarias, Jeffrey C., "The 3x+ 1 problem: An overview.", in: The ultimate challenge: The 3x+1 Problem (2010): 3-29.

5

Rozier, Olivier and Terracol, Claude, Paradoxical behavior in Collatz sequences, arXiv preprint arXiv:2502.00948, 2025

6

Terras, Riho, "A stopping time problem on the positive integers.", Acta Arithmetica 30 (1976): 241-252.