#include <bits/stdc++.h>
using namespace std;
#define all(v) (v).begin(),(v).end()
#define pb(a) push_back(a)
#define rep(i, n) for(int i=0;i<n;i++)
#define foa(e, v) for(auto& e : v)
using ll = long long;
const ll MOD7 = 1000000007, MOD998 = 998244353, INF = (1LL << 60);
#define dout(a) cout<<fixed<<setprecision(10)<<a<<endl;

vector<ll> p(ll n) {
    vector<ll> rev;
    ll m = n;
    for(ll i = 2; i * i <= n; i++) {
        ll num = 0;
        while(m % i == 0) {
            num ++;
            m /= i;
        }
        if(num) rev.push_back(num);
    }
    if(m > 1) rev.pb(1);
    return rev;
}
int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    int t; cin >> t;
    rep(i, t) {
        ll n;
        cin >> n;
        ll ans = 0;
        foa(e, p(n)) {
            ans = e + (e * 2 + 1) * ans;
        }
        cout << ans + 1 << endl;
    }
    return 0;
}