Integer Dynamics

Dino Lorenzini, Mentzelos Melistas, Arvind Suresh +2

Let $b\ge 2$ be an integer, and write the base $b$ expansion of any non-negative integer $n$ as $n=x_0+x_{1}b+\cdots +x_d{b}^d$, with $x_d>0$ and $0\le x_i<b$ for $i=0,\dots,…