codeforces - multiply by 2 divide by 6

#include<bits/stdc++.h>
using namespace std;

#define ll long long
#define fast()(ios_base::sync_with_stdio(0),cin.tie(NULL));
#define pi pair<int , int>
#define mp make_pair
#define f first
#define s second

int main()
{
    fast();
    ll t;
    cin>>t;
    while(t--)
    {
        ll n;
        cin>>n;
        ll cnt=0;
        while(n>1)
        {
            if(n%6==0)
            {
                n/=6;
                cnt++;
            }
            else
            {
                n*=2;
                cnt++;
                if(n%6==0)continue;
                else break;
            }
        }
        if(n==1)cout<<cnt<<endl;
        else cout<<-1<<endl;
    }
}