def euler_phi(N):
    """
    Euler totient function
    [1,N]の自然数のうちNと互いに素なものの個数
    """
    res = N
    for i in range(2, int(N ** 0.5) + 1):
        if N % i == 0:
            res -= res // i
            while N % i == 0:
                N //= i
    if N > 1:
        res -= res // N
    return res


def div(n):
    res = set()
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            res.add(i)
            res.add(n//i)
    return sorted(res)


def main():
    N = int(input())
    if N == 1:
        return 1
    mod = 2*N-1
    for i in div(euler_phi(mod)):
        if pow(2, i, mod) == 1:
            return i


T = int(input())
for _ in range(T):
    print(main())