On a Representation of the Collatz Procedure
6th International Conference on Problems of Cybernetics and Informatics, PCI 2025, Baku, Azerbaijan, 25 - 28 August 2025, (Full Text)
- Publication Type: Conference Paper / Full Text
- Doi Number: 10.1109/pci66488.2025.11219837
- City: Baku
- Country: Azerbaijan
- Keywords: (:4+,-) Representation, Collatz Conjecture, Collatz Procedure, Computational Methods
- Dokuz Eylül University Affiliated: Yes
Abstract
In this study, the Collatz Procedure is analyzed within the domain of odd numbers. These odd numbers are classified into two distinct subsets based on their modular characteristics. For each subset, a parameter is defined to reflect the transformation behavior under the Collatz operation. This classification enables a new symbolic representation of the procedure, which reveals the structural dynamics of number sequences more clearly. The paper investigates how the procedure operates within each subset and explores the transition rules that determine how a number moves between subsets during iteration.