2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71102In this paper one constructs a function $η$ with the property that if $n$ is non-null then $η(n)$ is the smallest integer such that $η(n)!$ is divisible by $n$. In order to calculate it one considers, for each prime $p$, the associated function $η_{p}(n)$ in a power base.8 pagesGeneral Mathematics11A25, 11B34A Function in the Number Theorytext