#include<bits/stdc++.h> 
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp> 
#define mod 1000000007
#define mod2 998244353
#define int long long
#define endl "\n"
#define p_b push_back
#define m_p make_pair
#define fastIO ios_base::sync_with_stdio(false),cin.tie(NULL)
using namespace std;
using namespace __gnu_pbds;
template <class T> 
using _ost = tree<
		T, 
		null_type, 
		less<T>, 
		rb_tree_tag, 
        tree_order_statistics_node_update>;


int32_t main(){
 	fastIO;
	int k;cin>>k;
	int ans=0;
	for(int i=1;i<=k;i++){
		for(int j=1;j<=k;j++){
			for(int l=1;l<=k;l++){
				ans+=__gcd(i,__gcd(j,l));
			}
		}
	}
	cout<<ans<<endl;
}