#include <bits/stdc++.h>

using namespace std;
void fast_io() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
}
long long pow_mod(long long a, long long n, long long mod) {
    long long res = 1;
    while (n > 0) {
        if (n % 2 == 1) {
            res = res * a % mod;
        }
        a = a * a % mod;
        n /= 2;
    }
    return res;
}
int main() {
    fast_io();
    int t;
    cin >> t;
    for (; t--;) {
        long long n;
        cin >> n;
        vector<long long> pf;
        long long n_tmp = 2 * n - 1;
        for (long long i = 2; i * i <= n_tmp; i++) {
            while (n_tmp % i == 0) {
                pf.push_back(i);
                n_tmp /= i;
            }
        }
        if (n_tmp > 1) {
            pf.push_back(n_tmp);
        }
        long long phi = 2 * n - 1;
        for (long long p : pf) {
            phi = phi / p * (p - 1);
        }
        vector<long long> fac;
        for (long long i = 1; i * i <= phi; i++) {
            if (phi % i == 0) {
                fac.push_back(i);
                if (i * i != phi) {
                    fac.push_back(phi / i);
                }
            }
        }
        long long ans = phi;
        for (long long a : fac) {
            if (pow_mod(2, a, 2 * n - 1) == 1) {
                ans = min(ans, a);
            }
        }
        cout << ans << "\n";
    }
}