#include<bits/stdc++.h>
//ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
//clock_t start=clock();clock_t end=clock();cout<<(double)(end-start)/CLOCKS_PER_SEC<<endl;
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef unsigned int ui;
typedef pair<int,int> pii;
typedef pair<pii,int> ppii;
typedef pair<int,pii> pipi;
typedef pair<ll,ll> pll;
typedef pair<pll,ll> ppll;
typedef pair<ll,pll> plpl;
typedef pair<pii,pii> P;
typedef tuple<ll,ll,ll> tl;
typedef pair<double,double> pdd;
typedef vector<vector<ll>> mat;
ll mod=1000000007;
ll mod2=998244353;
ll mod3=1000003;
ll mod4=998244853;
ll mod5=1000000009;
ll inf=1LL<<60;
double pi=3.141592653589793238462643383279L;
double eps=1e-14;
#define rep(i,m,n) for(ll i=m;i<n;i++)
#define rrep(i,n,m) for(ll i=n;i>=m;i--)
#define srep(itr,st) for(auto itr=st.begin();itr!=st.end();itr++)
#define mrep(itr,mp) for(auto itr=mp.begin();itr!=mp.end();itr++)
#define Max(a,b) a=max(a,b)
#define Min(a,b) a=min(a,b)
int dh[4]={1,-1,0,0};
int dw[4]={0,0,1,-1};
int ddh[8]={-1,-1,-1,0,0,1,1,1};
int ddw[8]={-1,0,1,-1,1,-1,0,1};
struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};
#define umh unordered_map<ll,ll,custom_hash>
ll gcd(ll a,ll b){
    if(a<b)swap(a,b);
    if(b==0)return a;
    if(a%b==0)return b;
    return gcd(b,a%b);
}
ll lcm(ll a,ll b){
    ll c=gcd(a,b);
    return a*b/c;
}
ll Pow(ll n,ll k){
    ll ret=1;
    ll now=n;
    while(k>0){
        if(k&1)ret*=now;
        now*=now;
        k/=2;
    }
    return ret;
}
ll beki(ll n,ll k,ll md){
  ll ret=1;
  ll now=n;
    now%=md;
  while(k>0){
    if(k%2==1){
      ret*=now;
      ret%=md;
    }
    now*=now;
    now%=md;
    k/=2;
  }
  return ret;
}
ll gyaku(ll n,ll md){
  return beki(n,md-2,md);
}
ll popcount(ll n){
    ll ret=0;
    ll u=n;
    while(u>0){
        ret+=u%2;
        u/=2;
        
    }
    return ret;
}
int main(){
    ios::sync_with_stdio(false);cin.tie(0);
    int t;cin>>t;
    int used[100000];
    fill(used,used+100000,1);
    bool used2[100000];
    fill(used2,used2+100000,false);
    vector<ll> v,w;
    rep(i,2,100000){
        if(used2[i])continue;
        rep(j,1,100000){
            ll now=i*j;
            if(now>100000)break;
            used2[now]=true;
            if(gcd(i,j)==1)used[now]*=1;
            else used[now]*=0;
        }
    }
    rep(i,2,100000){
        if(i*i>1000000000)break;
        if(used[i])v.push_back(i);
    }
    //rep(i,0,20)cout<<v[i]<<" ";
    //cout<<endl;
    sort(v.begin(),v.end());
    rep(_,0,t){
        fill(used,used+100000,false);
        ll n;cin>>n;
        ull ans=n*n;
        ll cnt=1;
        rep(i,2,100000){
            if(i*i>n)break;
            if(used[i])continue;
            ll ma=1;
            ll pp=i;
            used[i]=true;
            while(pp<=n){
                pp*=i;
                if(pp<100000)used[pp]=true;
                ma++;
            }
            cnt+=ma-1;
            rep(j,1,ma){
                rep(k,1,ma){
                    ll f=max(j,k);
                    f/=gcd(j,k);
                    ans+=n/f;
                }
            }
        }
        //rep(i,2,n+1)cout<<used[i]<<" ";
       // cout<<endl;
        //cout<<cnt<<endl;
        ans+=(n-cnt)*n;
        cout<<ans<<endl;
        /*rep(i,1,n+1){
            rep(j,1,n+1){
                rep(k,1,n+1){
                    rep(l,1,n+1){
                        if(Pow(i,k)==Pow(j,l)){
                            if((i==2||i==4||i==8||i==16)&&(j==2||j==4||j==8||j==16)){
                                cout<<i<<" "<<j<<" "<<k<<" "<<l<<endl;
                                anss++;
                            }
                            
                            
                        }
                        
                    }
                }
                if((i==2||i==4||i==8||i==16)&&(j==2||j==4||j==8||j==16))cout<<anss<<endl;
            }
        }
        cout<<anss<<endl;*/
    }
}