Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Numerical Approach on Collatz Conjecture

Version 1 : Received: 23 April 2024 / Approved: 23 April 2024 / Online: 25 April 2024 (15:14:50 CEST)
Version 2 : Received: 1 May 2024 / Approved: 3 May 2024 / Online: 3 May 2024 (11:22:09 CEST)

How to cite: Lee, Y. Numerical Approach on Collatz Conjecture. Preprints 2024, 2024041570. https://doi.org/10.20944/preprints202404.1570.v1 Lee, Y. Numerical Approach on Collatz Conjecture. Preprints 2024, 2024041570. https://doi.org/10.20944/preprints202404.1570.v1

Abstract

We can analyze the properties of the Collatz Conjecture by using Terras’ Theorem, and computational graphical calculations. To do this, we introduce the concept of “tree" which shows the relationship between the input and output positive integers of the Collatz process. This approach offers a novel way for determining the non-existence of loops and diverge trees through computer simulations.

Keywords

collatz conjecture; 3x+1 problem; Terras Theorem

Subject

Computer Science and Mathematics, Mathematics

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