#include <vector>
#include <stack>
#include <queue>
#include <list>
#include <bitset>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <algorithm>
#include <numeric>
#include <iostream>
#include <iomanip>
#include <string>
#include <chrono>
#include <random>
#include <cmath>
#include <cassert>
#include <climits>
#include <cstring>
#include <cstdlib>
#include <functional>
#include <sstream>

using namespace std;

int main(int argc, char** argv) {
    ios::sync_with_stdio(false);
    cin.tie(0);

    int n;
    cin >> n;

    auto gcd = [&](int x, int y) {
        while (x != 0) {
            y %= x;
            swap(x, y);
        }
        return y;
    };

    long long res = 0;
    for (int i = 1; i <= n; ++i) {
        for (int j = 1; j <= n; ++j) {
            for (int k = 1; k <= n; ++k) {
                res += gcd(gcd(i, j), k);
            }
        }
    }

    cout << res << "\n";

    return 0;
}