#include <bits/stdc++.h>
using namespace std;
#define ll          long long
#define vl          vector<ll>
#define vi          vector<int>
#define pi          pair<int,int>
#define pl          pair<ll,ll>
#define all(a)      a.begin(),a.end()
#define mem(a,x)    memset(a,x,sizeof(a))
#define pb          push_back
#define mp          make_pair
#define F           first
#define S           second
#define trace(x)     cerr<<#x<<":"<<x<<endl;
#define trace2(x,y) cerr<<#x<<":"<<x<<"|"<<#y<<":"<<y<<endl;
#define trace3(x,y,z) cerr<<#x<<":"<<x<<"|"<<#y<<":"<<y<<"|"<<#z<<":"<<z<<endl;
#define fast_io     std::ios::sync_with_stdio(false),cin.tie(NULL),cout.tie(NULL)
const int maxn = 1e5+7;
int main(){
	fast_io;
	int n;
	cin>>n;
	ll ans = 0;
	for(int i=1;i<=n;i++){
		for(int j=1;j<=n;j++){
			for(int k=1;k<=n;k++){
				int g1 = __gcd(i,j);
				int g2 = __gcd(g1,k);
				ans += g2;
			}
		}
	}
	cout<<ans;

	
	// cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
	return 0;
}