class PrimeNumbers:
    def __init__(self, nmax):
        from math import isqrt
        rootnmax = isqrt(nmax)
        self.prime_judgement = [True]*(rootnmax+1)
        self.prime_judgement[0] = self.prime_judgement[1] = False
        for i in range(2, rootnmax+1):
            if self.prime_judgement[i]:
                for j in range(2, rootnmax//i+1):
                    self.prime_judgement[i*j] = False
        self.prime_list = []
        for i, flag in enumerate(self.prime_judgement):
            if flag: self.prime_list.append(i)
    def prime_factorization(self, n):
        return_list = []
        for i in self.prime_list:
            if n == 1 or i*i > n: break
            if n%i == 0:
                return_list.append([i, 0])
                while n%i == 0: return_list[-1][1] += 1; n //= i
        if n != 1: return_list.append([n, 1])
        return return_list
    def number_of_divisors(self, n):
        num = 1
        for _, v in self.prime_factorization(n): num *= v+1
        return num
from sys import setrecursionlimit
from functools import lru_cache
setrecursionlimit(10**6)
@lru_cache
def main(n):
    m = n-pn.number_of_divisors(n)
    return main(m) if m else n
pn = PrimeNumbers(10**9)
for _ in range(int(input())): print(main(int(input())))