from collections import defaultdict
d = defaultdict(int)

def make_divisors(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]

t = int(input())
for _ in range(t):
    n = int(input())
    nums = []
    while True:
        if d[n] :
            print(d[n])
            break
        else:
            dx = len(make_divisors(n))
            if n != dx:
                nums.append(n)
                n -= dx
            else:
                print(n)
                d[n] = n
                for num in nums:
                    d[num] = n
                break