#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using namespace std;
using ll=long long;
using ld=long double;
ld pie=3.141592653589793;
ll mod=1000000007;
ll inf=10099999999999990;
int main(){
    ll n;
    cin >> n;
    ll x=n*n;
    x%=mod;
    x*=n-1;
    x%=mod;
    ll y=n*(n-1);
    y%=mod;
    y*=2*n-1;
    y%=mod;
    y*=inv_mod(3,mod);
    y%=mod;
    x+=mod-y;
    x%=mod;
    x*=inv_mod(n*(n-1)%mod,mod);
    x%=mod;
    x*=n;
    x%=mod;
    cout << x << endl;
}