import sys
import numpy as np

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

T, *Ns = map(int, read().split())

def prime_table(N):
    is_prime = np.zeros(N, np.int64)
    is_prime[2:3] = 1
    is_prime[3::2] = 1
    for p in range(3, N, 2):
        if p * p >= N:
            break
        if is_prime[p]:
            is_prime[p * p::p + p] = 0
    return is_prime, np.where(is_prime)[0]

is_prime, primes = prime_table(10**5)

def euler_phi(N):
    pf = primes[N % primes == 0]
    phi = N
    for p in pf:
        phi -= phi // p
        while N % p == 0:
            N //= p
    if N > 1:
        phi -= phi // N
    return phi

def solve(n):
    n = 2 * n - 1
    # 2^k = 1 mod n となる最小の k >= 1 を求める
    phi_n = euler_phi(n)
    div = np.arange(1, 10**5 + 1)
    div = div[phi_n % div == 0]
    div = np.union1d(div, phi_n // div)
    for d in div.tolist():
        if (pow(2, d, n) -1) % n == 0:
            return d

for n in Ns:
    print(solve(n))