#include"bits/stdc++.h"
using namespace std;
#define int long long
#define rep(i,n) for(int i=0;i<n;i++)
const long long inf = 1ll << 61;
int kon[100005];

int divnum(int a,int d) {//a/d^x
	if (a < d)return 0;
	return 1 + divnum(a / d, d);
}

int gcd(int a, int b) {
	if (!b)return a; return gcd(b, a%b);
}

signed main() {
	int t; cin >> t;
	for (int i = 2; i <= 100000; i++) {
		if (!kon[i]) {
			kon[i] = i;
			int now = i;
			while (now <= 100000) {
				kon[now] = i; now *= i;
			}
		}
	}

	rep(T, t) {
		int n; cin >> n;
		int cnt = n*(n+n - 1);
		for (int i = 2; i*i <= n; i++) {
			if (kon[i] != i)continue;
			int maxt = divnum(n, i);
			for (int k = 1; k <= maxt; k++) {//(i^k)^b
				for (int j = k + 1; j <= maxt; j++) {//(i^j)^d
					cnt += (n / (j/gcd(j,k))) * 2;
				}
			}
		}
		cout << cnt << endl;
	}
}