$3n+1$问题：小于$x$且与1相连的整数个数的启发式下界
$3n+1$ problem: an heuristic lower bound for the number of integers connected to 1 and less than $x$
摘要：
本文在$3n+1$问题的背景下，给出了一个关于整数连接到1且小于$x$，$θ(x) > 0.9x,$的个数的启发式下界.
英文摘要：
This paper gives an heuristic lower bound for the number of integers connected to 1 and less than $x$, $θ(x) > 0.9x,$ in the context of the $3n+1$ problem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
