#include <bits/stdc++.h>
using namespace std;
#define ll long long


int main()
{
    ios_base::sync_with_stdio(0); cin.tie(0);
    int n;
    cin>>n;
    ll 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(i,__gcd(j,k));
            }
        }
    }
    cout<<sum;
}
