Lockers!

Algebra Level 3

1000 students with numbers form 1 to 1000 are at a school and they each have a locker numbered 1 to 1000. All the lockers are closed at the start. If each student changes the state (closes if it is open or opens if it is closed) of all the lockers divisible by their number, how many lockers are left open at the end?

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