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

int64_t powint(int64_t N, int K){
    int64_t res = 1;
    while(K--) res *= N;
    return res;
}

int main(){
    int T;
    cin >> T;
    while(T--){
        int64_t N;
        cin >> N;
        vector<int64_t> pwmax(31, 1);
        pwmax[1] = N;
        for(int i=2; i<=30; i++) while(powint(pwmax[i]+1, i) <= N) pwmax[i]++;

        int64_t ans = N*N;
        for(int i=1; i<=30; i++) for(int j=1; j<=30; j++){
            if(gcd(i, j) > 1) continue;
            int m = max(i, j);
            int64_t res = pwmax[m]-1;
            res *= N/m;
            ans += res;
        }
        cout << ans << endl;
    }
    return 0;
}