@misc{Daudin2020, author = {{Jean-Jacques Daudin}}, title = {{$3n+1$ problem: an heuristic lower bound for the number of integers connected to 1 and less than $x$}}, year = {{2020}}, url = {{https://arxiv.org/abs/2003.14153}}, primaryclass= {{math.NT}}, archiveprefix= {{arXiv}}, eprint = {{2003.14153}}, }