#include <bits/stdc++.h>
using namespace std;
int main(){
  int T;
  cin >> T;
  for (int i = 0; i < T; i++){
    long long X;
    cin >> X;
    long long Y = X * 2;
    while (true){
      int cx = 1, cy = 1;
      int p = 2;
      long long X2 = X, Y2 = Y;
      while (X2 != Y2){
        int cntx = 0;
        while (X2 % p == 0){
          X2 /= p;
          cntx++;
        }
        int cnty = 0;
        while (Y2 % p == 0){
          Y2 /= p;
          cnty++;
        }
        cx *= cntx + 1;
        cy *= cnty + 1;
        p++;
      }
      if (cy == cx * 2){
        cout << Y << endl;
        break;
      } else {
        Y += X;
      }
    }
  }
}