#include <bits/stdc++.h>

using namespace std;
int main()
{
    int n;
    cin >> n;
    long long int sum = 0;
    for (int i = 1; i <= n; i++)
    {
        for (int j = 1; j <= n; j++)
        {
            for (int k = 1; k <= n; k++)
            {
                sum += __gcd(k, __gcd(i, j));
            }
        }
    }
    cout << sum << "\n";
    return 0;
}