Test=int(input())
for J in range(Test):
N=int(input())
Cont=0
Aux=0
while(N!=1):
if(N%6==0):
N=N//6
Cont+=1
else:
Aux=N*2
if((Aux%6==0)or(Aux==6)):
N=N*2
Cont+=1
else:
Aux=-1
break
if(Aux==-1):
print(-1)
else:
print(Cont)
// Date: 2023-01-31 14:22:25
// Problem: B. Multiply by 2, divide by 6
// Contest: Codeforces - Codeforces Round #653 (Div. 3)
// URL: https://codeforces.com/problemset/problem/1374/B
// Memory Limit: 256 MB
// Time Limit: 1000 ms
// --------By WIDA--------
#include <bits/stdc++.h>
using namespace std;
namespace WIDA {
using LL = long long;
using PII = pair<LL, LL>;
using TII = tuple<LL, LL, LL>;
#define FOR(i,a,b) for (int i = (int)(a); i <= (int)(b); i ++)
#define FOR2(i,a,b) for (int i = (int)(a); i <= (int)(b); i += 2)
#define FORD(i,b,a) for (int i = (int)(a); i >= (int)(b); i --)
#define ALL(a) a.begin(), a.end()
#define rALL(a) a.rbegin(), a.rend()
#define pb push_back
#define fi first
#define se second
#define sz size()
const LL INF = 0x3f3f3f3f3f3f3f3f;
template <class... Args> void _(Args... args) {
auto _ = [&](auto x) { cout << x << " "; };
cout << "--->"; int arr[] = {(_(args), 0)...};
cout << "\n";
}
template <class T> void _i(T args) {
cout << "{";
for (auto i : args) cout << i << ", "; cout << "}\n";
}
template <class T> void _ii(T args) {
cout << "{";
for (auto [i, j] : args) cout << i << " " << j << ", ";
cout << "}\n";
}
template <class... Args> void __(Args... args) {
auto _ = [&](auto x) { cout << x << " "; };
int arr[] = {(_(args), 0)...}; cout << "\n";
}
#define int long long // Zmod要关闭
#define endl "\n" // 交互题要关闭
const int MOD = 998244353; // 看清楚每道题的 MOD
const int N = 1e6 + 7; // 二维数组要修改 vector<vector<int> > a(n, vector<int> (m, 0));
}
using namespace WIDA;
bool Solve() {
int n; cin >> n;
int cnt = 0, ans = 0;
while (n % 3 == 0) {
if (n % 2) ++ ans, n /= 3;
else n /= 6;
++ cnt;
}
if (n == 1) cout << ans + cnt << endl;
else cout << -1 << endl;
return 0;
}
signed main() {
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
int Task = 1;
cin >> Task;
for (int i = 1; i <= Task; ++ i) {
Solve();
// cout << (Solve() ? "YES" : "NO") << endl;
}
return 0;
}
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