#include<bits/stdc++.h>
using namespace std;
#define ll long long int 
#define f first
#define s second
#define pb push_back
#define mod 1000000007
#define mp make_pair
#define fast 
#define f first
#define s second
#define endl "\n"
#define pie 3.1415926535

int main(){
    int n;
    cin >> n;
    long long sum=0;
    for(int i=1;i<=n;i++){
        for(int j=1;j<=n;j++){
            for(int k=1;k<=n;k++){
                sum+= __gcd(__gcd(i,j),k);
            }
        }
    }
    
    cout << sum <<endl;
}




