#include <bits/stdc++.h>
#include <random>
#include <chrono>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ll long long int
#define ull unsigned ll
#define pb push_back
#define popb pop_back
#define mt make_tuple
#define eb emplace_back
#define mp make_pair
#define ff first
#define ss second
#define pii pair <int,int>
#define piii pair <pii,int>
#define piiii pair <pii,pii>
#define plll pair <pair <ll, ll>, ll>
#define rep0(i,n) for(ll i=0;i<(ll)n;i++)
#define rep1(i,n) for(ll i=1;i<=(ll)n;i++)
#define rep(i,x,y) for(ll i=(ll)x;i<=(ll)y;i++)
#define reprev(i,n) for(ll i=(ll)n;i>=0;i--)
#define all(c) c.begin(),c.end()
#define print(a) rep0(i,a.size()) cout << a[i] << " "
#define hi() cout << "\nHello, I am error. Can you find me? :):):)\n"
#define Randomize mt19937 rng(chrono::steady_clock::now().time_since_eppoch().count())
 
using namespace __gnu_pbds;
using namespace std;
using ordered_set =  tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>;

const int mod = 1e9+7;
const long double pi = acos(-1);

ll power(ll x, ll y){
	x %= mod;
	ll ans = 1;
	while(y){
		if(y&1) ans = (ans*x)%mod;
		y /= 2;
		x = (x*x)%mod;
	}
	return ans;
}

void solve(){

	int k;
	cin >> k;
	ll ans = 0;
	rep1(x,k) rep1(y,k) rep1(z,k){
		ans += __gcd(x,__gcd(y,z));
	}
	cout << ans;

	return;
}

int main(){

	ios::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);

	int TC = 1,t = 0;
	// cin >> TC;
	while(t++ < TC){
		// cout << "Case #" << t << ": ";
		solve();
		// cout << "\n";
	}

	cerr << "Time : " << 1000 * ((double)clock()) / (double)CLOCKS_PER_SEC << "ms\n";

	return 0; 
}