The LockersNumber Theory Level 3
Lockers numbered \(1\) to \(10000\) stand in a row in the gym. When the first student, he opens all lockers. The second student change the state of every locker that is a multiple of \(2\) and in general, the \(n\)-th student changes the state of a locker that is numbered a multiple of \(n\).
After \(10000\) passes through, how many lockers are closed?