#include<bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;
using mint=modint998244353; //1000000007;
using ll=unsigned long long;
using pp=pair<int,int>;
#define sr string 
#define vc vector
#define fi first
#define se second
#define rep(i,n) for(int i=0;i<(int)n;i++)
#define pb push_back
#define all(v) v.begin(),v.end()
#define pque priority_queue
#define bpc(a) __builtin_popcount(a)
void sol(){
  ll n;cin>>n;
  ll d=sqrt(n)+10;
  d=min(d,n);
  vc<bool>bo(d+1,true);
  ll ans=n*n+(n-1)*n;
  for(ll i=2;i<=d;i++)if(bo[i]){
    ll mx=0;
    for(ll j=i*i;j<=d;j*=i)bo[j]=false;
    for(ll j=i;j<=n;j*=i)mx++;
    //cout<<i<<' '<<mx<<"\n";
    for(ll j=2;j<=mx;j++)for(ll k=1;k<j;k++){
      ll x=j/gcd(j,k);
      ans+=n/x*2;
    }
  }
  cout<<ans<<"\n";
}
int main(){
  int t;cin>>t;
  rep(z,t)sol();
}