Super Hero

Chef is playing a game where he battles monsters to defeat as many as possible. He starts with an initial health of $H$ units, which can decrease with each battle. In each battle: 1. Chef's current health, $P$, will **drop to** $D$ after the fight, where $D$ is the largest [divisor](https://en.wikipedia.org/wiki/Divisor) of $P$ other than $P$ itself. 2. The game ends when Chef’s health reaches $1