import sys
def input():
	return sys.stdin.buffer.readline()[:-1]

def phi(x):
	prime = []
	i = 2
	y = x
	while i*i <= x:
		if y%i == 0:
			prime.append(i)
			while y%i == 0:
				y //= i
		i += 1

	if y > 1:
		prime.append(y)
	res = x
	for p in prime:
		res = res * (p-1) // p

	div = []
	i = 1
	while i * i <= res:
		if res % i == 0:
			div.append(i)
			div.append(res // i)
		i += 1
	return div

for _ in range(int(input())):
	n = int(input()) * 2
	if n == 1:
		print(1)
		continue
	div = phi(n-1)
	#print(div)
	ans = n
	for d in div:
		if pow(2, d, n-1) == 1:
			ans = min(ans, d)
	print(ans)