#include <bits/stdc++.h>

using namespace std;

#define FAST_IO ios_base::sync_with_stdio(0); cin.tie(nullptr)
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define REP(n) FOR(O, 1, (n))
#define pb push_back
#define f first
#define s second
typedef long double ld;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<int, pii> piii;
typedef vector<int> vi;
typedef vector<pii> vii;
typedef vector<ll> vl;
typedef vector<piii> viii;

const int MAXN = 500100, MAXK = 30;
const ll MOD = 998244353;
const int INF = 1e8;
const ld PI = asin(1) * 2;

void setIO () {
    FAST_IO;
}

void setIO (string s) {
    setIO();
 	freopen((s+".in").c_str(),"r",stdin);
	freopen((s+".out").c_str(),"w",stdout);
}

ll gcd (ll a, ll b) {
    return b == 0 ? a : gcd(b, a%b);
}

int main() {
	setIO();

    int k; cin >> k;
    ll sum = 0;
    FOR(a, 1, k) FOR(b, 1, k) FOR(c , 1, k) {
        sum += gcd(gcd(a,b),c);
    }
    cout << sum;

	return 0;
}


