#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
#define print(a) for(auto x : a) cout << x << " "; cout << endl
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
inline int power(int a, int b, int mod=M) {
int x = 1;
a %= mod;
while (b) {
if (b & 1) x = (x * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return x;
}
//_ ***************************** START Below *******************************
int consistency(int n){
int x = n;
unordered_map<int,int> mp;
while(n%2 == 0){
mp[2]++;
n /= 2;
}
for(int i=3; i*i<=n; i+=2){
while(n%i==0){
mp[i]++;
n /= i;
}
}
if(n>2){
mp[n]++;
}
int ans = 1;
for(auto& it : mp){
int p = it.first;
int e = it.second;
int nmr = power(p, e+1, M) - 1;
int dnr = (p-1+M)%M;
dnr = power(dnr, M-2);
int val = ( nmr * dnr ) % M;
ans = (ans * val)%M;
}
ans -= x;
return ans;
}
int practice(int n){
return 0;
}
void solve() {
int n;
cin>> n;
cout << consistency(n) << endl;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
cin >> t;
while (t--) {
solve();
}
return 0;
}
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