#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define ll long long
#define INF 1000000000000000000
#define all(x) x.begin(), x.end()

/* a と b の最大公約数を返す関数 */
long long GCD(long long a, long long b) {
    if (b == 0)
        return a;
    else
        return GCD(b, a % b);
}

int main() {
    ll K;
    ll sum = 0;
    cin >> K;
    for (int i = 1; i <= K; i++) {
        for (int j = 1; j <= K; j++) {
            for (int k = 1; k <= K; k++) {
                sum += GCD(GCD(i, j), k);
            }
        }
    }

    cout << sum << endl;
}