On the impossibility of divergent sequences in The Collatz conjecture
Abstract
This paper proves that it is impossible to have an infinite sequence of numbers, built according to the rules of the Collatz Conjecture. This is due to the accumulation of unfulfillable requirements for the first member of this sequence when the number of steps becomes infinite.This paper can be seen as a simplified version of the previous paper, entitled "On the impossibility of an infinite chain in The Collatz Conjecture"
Fields of Study & Subjects
Benford’s Law and Fraud Detection
Probability and Statistical Research
Computability
Logic
AI Algorithms
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 April 2026
- Document type
- Preprint