# Python3 program to calculate  
# discrete logarithm 
import math; 
  
def discreteLogarithm(a, b, m):  
  
    n = int(math.sqrt (m) + 1); 
  
    # Calculate a ^ n  
    an = 1; 
    for i in range(n): 
        an = (an * a) % m; 
  
    value = [0] * m; 
  
    # Store all values of a^(n*i) of LHS 
    cur = an; 
    for i in range(1, n + 1): 
        if (value[ cur ] == 0): 
            value[ cur ] = i; 
        cur = (cur * an) % m; 
      
    cur = b; 
    for i in range(n + 1): 
          
        # Calculate (a ^ j) * b and check 
        # for collision 
        if (value[cur] > 0): 
            ans = value[cur] * n - i; 
            if (ans < m): 
                return ans; 
        cur = (cur * a) % m; 
  
    return -1; 
# A simple Python3 program 
# to calculate Euler's 
# Totient Function
 
# Function to return
# gcd of a and b
def gcd(a, b):
 
    if (a == 0):
        return b
    return gcd(b % a, a)
# Python3 program to calculate 
# Euler's Totient Function
def phi(n):
     
    # Initialize result as n
    result = n; 
 
    # Consider all prime factors
    # of n and subtract their
    # multiples from result
    p = 2; 
    while(p * p <= n):
         
        # Check if p is a 
        # prime factor.
        if (n % p == 0): 
             
            # If yes, then 
            # update n and result
            while (n % p == 0):
                n = int(n / p);
            result -= int(result / p);
        p += 1;
 
    # If n has a prime factor
    # greater than sqrt(n)
    # (There can be at-most 
    # one such prime factor)
    if (n > 1):
        result -= int(result / n);
    return result;
# This code is contributed 
# by mits
t=int(input())
for _ in range(t):
  n=int(input())
  a=discreteLogarithm(2,1,2*n-1)
  totient=phi(2*n-1)
  while True:
    flag=0
    count=2
    while count*count<=totient:
      if totient%count==0 and pow(2,totient//count,2*n-1)==1:
        totient=totient//count
        break
      count+=1
    if count*count>totient:
      flag=1
    if flag==1:
      break
  print(totient)