#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (n); ++i)
using namespace std;
using ll = long long;

void solve() {
    ll p;
    cin >> p;

    ll temp = 1;
    rep(i, 60) {
        temp *= 2;
        temp %= p;
        if (temp == (i + 1) % p) {
            cout << i + 1 << "\n";
            return;
        }
    }
    cout << -1 << endl;
}

int main() {
    ll N;
    cin >> N;
    rep(i, N) {
        solve();
    }

    return 0;
}