1. Some considerations on the total stopping time for the Collatz problem
- Author
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Nicola Fabiano, Nikola Mirkov, and Stojan Radenović
- Subjects
collatz conjecture ,recurrences ,statistical analysis ,curve fitting ,Military Science ,Engineering (General). Civil engineering (General) ,TA1-2040 - Abstract
Introduction/purpose: The Collatz conjecture has been considered and the stopping time needed for the recursive transformation to end has been investigated. Methods: A statistical analysis on the stopping time has been used. Results: The statistical approach shows that the probability of finding an infinite stopping time, that is a violation of the Collatz conjecture, is extremely low. Conclusion: Picking precisely one particular atom in the Universe is still more favorable, by more than 61 orders of magnitude, than encountering an infinite total stopping time.
- Published
- 2024
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