from math import gcd
def euler_phi(n):
    res=n
    for x in range(2,int(n**.5)+2):
        if n%x==0:
            res=(res//x)*(x-1)
            while n%x==0:
                n//=x
    if n!=1:
        res=(res//n)*(n-1)
    return res

def divisors(M):#Mの約数列 O(n^(0.5+e))
    import math
    d=[]
    i=1
    while math.sqrt(M)>=i:
        if M%i==0:
            d.append(i)
            if i**2!=M:
                d.append(M//i)
        i=i+1
    d.sort()
    return d

for _ in range(int(input())):
    n = int(input())
    d = euler_phi(2*n-1)
    div = divisors(d)
    for i in div:
        if pow(2,i,2*n-1)==1:
            print(i)
            break
    if n==1:
        print(1)