Question 6
On the playground there are $2014$ athletes with the numbers from $1$ to $2014$ on their shirts (each number is on exactly one shirt). At the beginning they are all standing. In certain time intervals the coach shouts out all positive integers from $1$ to $2014$ in the increasing order. All athletes having a multiple of the shouted number on their shirts change their position from the standing position to crouch and vice versa.
How many athletes are crouching after the coach shouts out the number $2014$?
How many athletes are crouching after the coach shouts out the number $2014$?