# Smarandache function

> English word · Proper noun

## Definitions
1. A function, denoted by S(n) for some positive integer n, that yields the smallest number s such that n divides the factorial s!. For example, the number 8 does not divide 1!, 2!, 3!, but does divide 4!, so S(8) = 4.

## Etymology
Named after Florentin Smarandache, who rediscovered the function in 1980.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/smarandache-function