#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<complex>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<tuple>
using namespace std;
typedef long long ll;
typedef unsigned int ui;
const ll mod = 1000000007;
const ll INF = (ll)1000000007 * 1000000007;
typedef pair<int, int> P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define Per(i,sta,n) for(int i=n-1;i>=sta;i--)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
typedef long double ld;
const ld eps = 1e-8;
const ld pi = acos(-1.0);
typedef pair<ll, ll> LP;
int dx[4]={1,-1,0,0};
int dy[4]={0,0,1,-1};

int q;
unordered_map<int,bool> ng;

int gcd(int a,int b){
  if(a<b) swap(a,b);
  if(b==0) return a;
  return gcd(b,a%b);
}

ll kth_root(ll x,int k){
    if(x==1) return 1;
    if(k>64) return 1;
    ll l=0,r=numeric_limits<ll>::max();
    while(r-l>1){
        ll mid=(l+r)/(ll)2;
        ll d=mid;
        bool larger=false;
        rep(i,k-1){
            if(d>x/mid+(ll)1){
                larger=true;
                break;
            }
            d*=mid;
        }
        if(d>x) larger=true;
        if(larger) r=mid;
        else l=mid;
    }
    return l;
}


void solve(){
  cin >> q;
  rep(_,q){
    ll n;cin >> n;
    int m=0;ll k=1;
    while(k<n){
      k*=2;
      m+=1;
    }
    ll ans=0;
    Rep(b_,1,m+1){
      Rep(d_,1,m+1){
        if(gcd(b_,d_)!=1) continue;
        ans+=(n/(ll)max(b_,d_))*(kth_root(n,max(b_,d_))-(ll)1);
      }
    }
    ans+=n*n;
    cout << ans << endl;
  }
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << fixed << setprecision(50);
    solve();
}