#define _USE_MATH_DEFINES
#include <set>
#include <map>
#include <list>
#include <queue>
#include <stack>
#include <cmath>
#include <ctime>
#include <cstdio>
#include <vector>
#include <string>
#include <bitset>
#include <cctype>
#include <cstdlib>
#include <cstring>
#include <utility>
#include <numeric>
#include <complex>
#include <sstream>
#include <fstream>
#include <iomanip>
#include <cassert>
#include <iostream>
#include <iterator>
#include <algorithm>
using namespace std;
#define rep(i, n) REP(i, 0, n)
#define repr(i, n) for (int i = (n); i >= 0; i--)
#define ALL(v) v.begin(), v.end()
#define MSG(a) cout << #a << " " << a << endl;
#define REP(i, x, n) for (int i = x; i < n; i++)
#define OP(m) cout << m << endl
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> pii;

ll gcd(ll a, ll b)
{
    ll r = a % b;
    if (r == 0)
        return b;
    return gcd(b, r);
}

int main()
{
    int K;
    cin >> K;

    ll s = 0;
    for (int i = 1; i <= K; i++)
    {
        for (int j = 1; j <= K; j++)
        {
            for (int k = 1; k <= K; k++)
            {
                s += gcd(i, gcd(j, k));
            }
        }
    }
    OP(s);
    return 0;
}