#include <iostream>
#include <iomanip>
#include <string>
#include <vector>
#include <algorithm>
#include <numeric>
#include <utility>
#include <cmath>
#include <tuple>
#include <queue>
#include <bitset>
#include <set>
#include <map>
#include <list>

using ll = long long;
using ld = long double;
using namespace std;
const int INF = 1e9+100;
const ll INF64 = 7e18l;
const int mod = 1000000007;
#define rep(i,a,b) for(int i=(a);i<(b);i++)
#define ALL(a) (a).begin(), (a).end()
#define FIN ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);

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


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

    ll ans = 0;
    for(int a=1;a<=K;a++){
        for(int b=1;b<=K;b++){
            for(int c=1;c<=K;c++){
                ans += gcd(gcd(a,b),c);
            }
        }
    }

    cout << ans << endl;
    return 0;
}
