#include <bits/stdc++.h>
using namespace std;
#define REP(i,a,n) for(int i=(a); i<(int)(n); i++)
#define rep(i,n) REP(i,0,n)
#define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it)
#define ALLOF(c) (c).begin(), (c).end()
typedef long long ll;
typedef unsigned long long ull;

ll solve(ll N){
  ll ret = N*N + (N*N-N);
  ll sum = 0;
  for(ll a = 2; a<=sqrt(N); a++){
    ll x = (ll)(log(N)/log(a));
    ll y = (x-1) * (N/x);
    sum += y;
  }
  ret += 2*sum;
  return ret;
}

int main(){
  int T;
  cin >> T;
  while(T--){
    ll N;
    cin >> N;
    cout << solve(N) << endl;
  }
  
  return 0;
}