#include <bits/stdc++.h>
using namespace std;
int main() {
  long long int t;
  cin >> t;
  while (t--) {
    long long int n;
    cin >> n;
    long long int to = 0, thr = 0;
    while (n % 2 == 0) {
      to++;
      n = n / 2;
    }
    while (n % 3 == 0) {
      thr++;
      n = n / 3;
    }
    if (n > 1) {
      cout << "-1";
      cout << "\n";
    } else {
      if (to > thr) {
        cout << "-1";
        cout << "\n";
      } else {
        cout << 2 * thr - to;
        cout << "\n";
      }
    }
  }
}
