#include <bits/stdc++.h>

int main() {
  using namespace std;
  cin.tie(nullptr)->sync_with_stdio(false);
  auto f = [](int64_t x) -> int {
    int res = 1;
    for (int p : {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31}) {
      int e = 0;
      for (; x % p == 0; x /= p) ++e;
      res *= e + 1;
    }
    return res;
  };
  int tt;
  cin >> tt;
  while (tt--) {
    int64_t x;
    cin >> x;
    for (int64_t y = x;; y += x)
      if (f(y) == 2 * f(x)) {
        cout << y << '\n';
        break;
      }
  }
}