#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 gcd(ll a, ll b){return (b==0?a:gcd(b,a%b));}

ll solve(ll N){
  ll ret = 0;

  ret += N*N;
  ret += (N*N-N);
  {
    ll sum = 0;
    for(ll a=2; a<=sqrt(N); a++){
      ll x = (ll)(log(N)/log(a)+1e-8);
      for(ll b=2; b<=x; b++){
        ll y = N/b;
        sum += y;
      }
    }
    ret += 2*sum;
  }
  {
    ll sum = 0;
    for(ll b=2; b<min(N,33LL); b++){
      for(ll d=b+1; d<min(N,33LL); d++){
        if(gcd(b,d)==1){
          for(ll a=2;;a++){
            ll p = 1;
            rep(i,d) p *= a;
            if(p>N) break;
            sum += N/d;
          }
        }
      }
    }
    ret += 2*sum;
  }
  return ret;
}

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