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

int main() {
    int t;
    cin >> t;
    for (int i = 0; i < t; i++) {
        int64_t n, ans = 0;
        cin >> n;
        ans = n * n + n * (n - 1);
        for (int a = 2; a * a <= n; a++) {
            int64_t c = a * a, k = 2;
            while (c <= n) {
                for (int64_t j = 1; j < k; j++) {
                    if (gcd(j, k) == 1) {
                        ans += 2 * (n / k);
                    }
                }
                k++;
                c *= a;
            }
        }
        cout << ans << endl;
    }
}