Counting the Collatz numbers
General Mathematics
2025-12-18 v2
Abstract
The counting function for the numbers satisfying the Collatz conjecture is studied. A related exponential congruence equation is investigated, yielding a method to construct its solutions from free variables, and enabling us to find at least Collatz numbers in the interval . The historical record is 0.84.
Cite
@article{arxiv.2512.13760,
title = {Counting the Collatz numbers},
author = {Chunlei Liu},
journal= {arXiv preprint arXiv:2512.13760},
year = {2025}
}