#include <iostream>
#include <vector>
#include <algorithm>
#include <map>
#include <set>
#include <cmath>
#include <cstring>
#include <iomanip>
#include <random>
#include <chrono>
#include <queue>
#include <math.h>
#include <string>
#include <sstream>
#include <stack>
#include <deque>
#define pb push_back
#define make make_pair
#define kaku(a) cout << a << endl
#define isort(a) sort(a.begin(),a.end())
 
using namespace std;
 
#define ll long long
#define rep(i,n) for(ll i=0;i<n;i++)
#define PI 3.14159265359
long long gcd(long long a,long long b){ return b==0?a:gcd(b,a%b);}
long long lcm(long long a,long long b){ return a/gcd(a,b)*b;}
 
typedef pair<ll,ll> Pair;
const ll inf =1000000007;



int main(){
    ll k;
    cin >> k;
    ll ans=0;
    for(ll i=1;i<=k;i++){
        for(ll j=1;j<=k;j++){
            for(ll K=1;K<=k;K++){
                ans+=gcd(i,gcd(j,K));
            }
        }
    }
    kaku(ans);
}

