#include<bits/stdc++.h>
#define PB push_back
#define MP make_pair
#define F first
#define S second
#define MOD	1000000007
#define int	long long
#define pii pair<int,int> 
#define vi vector<int>
using namespace std;

int32_t main(){
	int n;
	cin >> n;
	int ans = 0;
	for(int i = 1; i <= n; i++){
		for(int j = 1; j <= n; j++){
			for(int k = 1; k <= n; k++){
				ans += __gcd(i,__gcd(j,k));
			}
		}
	}
	cout << ans << endl;

	return 0;
}

