#include <iostream>
#include <string>
#include <cmath>
#include <vector>
#include <algorithm>
#include <utility>
#include <bitset>
#include <climits>
#include <set>
#include <map>
#include <iomanip>
#include <queue>
#include <cstring>
using namespace std;
#define ll long long
#define pll pair<ll,ll>
#define F first
#define S second
#define pll pair<ll,ll>
#define mp make_pair
#define pb push_back
const ll N=1e9+7;
ll gcd(ll a,ll b){
    if(b==0) return a;
    return gcd(b,a%b);
}

int main(){
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    ll t;
    cin >>t;
    while(t--){
        ll n;
        cin >> n;
        ll cur=1,ans=0;
        for(ll i=2;i<43;i++){
            ans+=i*((n/cur)-(n/cur)/(i/gcd(cur,i)));
            ans%=N;
            cur*=i/gcd(cur,i);
        }
        cout << ans << endl;
    }
    return 0;
}