#pragma region cp-helper
#include <bits/stdc++.h>
using namespace std;
#define AC ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)
#define int long long
#define ll long long
#define ull unsigned long long
#define ii pair<int, int>
#define lll pair<ll, ll>
#define vi vector<int>
#define vvi vector<vi>
#define vl vector<ll>
#define vll vector<lll>
#define vvl vector<vl>
#define vii vector<ii>
#define all(a) a.begin(), a.end()
#define qsort(a) sort(all(a))
#define qsortd(a) sort(all(a), greater<>())
#define qsortf(a, f) sort(all(a), f)
#define pb(n) push_back(n)
#define eb(n) emplace_back(n)
#define pp(a, b) emplace_back(a, b)
#define umap unordered_map
#define uset unordered_set
#define nl '\n'
#define fileio(in, out) freopen(in, "r", stdin); freopen(out, "w", stdout)
#define qmod %mod
#define pls signed
#define give main()
const int mod = 1000000007;

struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

#pragma endregion

const int N = 55;
int n, ans;

int gcd(int a, int b){
    if (b == 0) return a;
    return gcd(b, a%b);
}
pls give {
    AC;
    cin >> n;
    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 << nl;
}