/*
susheel_7
*/
#include <bits/stdc++.h>
using namespace std;
#define ll long long int
#define pb push_back
#define mp make_pair
#define INF 0x3f3f3f3f 
#define fast_cin() ios_base::sync_with_stdio(false); cin.tie(NULL)
#define ll long long int


int main() {
    ll n,i,j,k,ans=0;
    cin>>n;
    for(i=1;i<=n;i++)
    {
        for(j=1;j<=n;j++)
        {
            for(k=1;k<=n;k++)
            {
                ans+=__gcd(__gcd(i,j),k);
            }
        }
    }
    cout<<ans; 
    return 0;
}