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#include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
#include<queue>
#include<map>
#include<stack>
#include<cmath>
#include<set>
#include<bitset>
#define inc(i,l,r) for(int i=l;i<=r;i++)
#define dec(i,l,r) for(int i=l;i>=r;i--)
#define link(x) for(edge *j=h[x];j;j=j->next)
#define mem(a) memset(a,0,sizeof(a))
#define ll long long
#define eps 1e-8
#define succ(x) (1<<x)
#define lowbit(x) (x&(-x))
#define sqr(x) ((x)*(x))
#define mid (x+y>>1)
#define NM 3200005
#define nm 1024
#define pi 3.1415926535897931
using namespace std;
const ll inf=998244353;
ll read(){
ll x=0,f=1;char ch=getchar();
while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();}
while(isdigit(ch))x=x*10+ch-'0',ch=getchar();
return f*x;
}
int tot,phi[NM],prime[NM],m;
bool v[NM];
ll n,ans;
void init(){
n=3200000;phi[1]=1;
inc(i,2,n){
if(!v[i])prime[++tot]=i,phi[i]=i-1;
inc(j,1,tot){
if(i*prime[j]>n)break;
v[i*prime[j]]++;
if(i%prime[j]==0){
phi[i*prime[j]]=phi[i]*prime[j];
break;
}
phi[i*prime[j]]=phi[i]*phi[prime[j]];
}
}
}
int main(){
init();
int _=read();while(_--){
n=read();m=sqrt(n);ans=0;
inc(i,1,m)ans+=(n/i/i)*phi[i];
printf("%lld\n",ans);
}
return 0;
}
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