#include <bits/stdc++.h>
#define int long long
#define all(c) (c).begin(),(c).end()
#define pii pair<long long,long long>
#define endl '\n'

using namespace std;

signed main(){
    std::ios::sync_with_stdio(false);
    int k;
    int ans=0;
    cin >> k;
    for(int i=1;i<=k;i++){
        for(int j=1;j<=k;j++){
            for(int l=1;l<=k;l++){
                ans+=__gcd(__gcd(i,j),l);
            }
        }
    }
    cout << ans;
}