Question 3
Grasshopper is sitting at point $O$ of coordinate line. He makes $2016$ jumps in positive direction. Firstly his jump has length $1$, every next jump is $k \in \mathbb{N}$ times longer than the previous one. There are holes in every point with coordinate $2016l$, $l \in \mathbb{N}$. Determine $k$ for which the grasshopper will make all the jumps and will not jump into hole.