#include <bits/stdc++.h>
#define mid (tl+tr)/2
#define mod 1000000007
#define fain(arr) for(int i=0;i<n;i++)cin>>arr[i];
#define all(x) x.begin(),x.end()
#define SPEED ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define bugv(n1) if(DEBUG)cout<<#n1<<" is "<<n1<<'\n';
#define buga(A) cout<<#A<<" is :"<<endl ; for(auto x:A)cout<<x<<" "; cout<<endl;
#define FILE freopen("input.txt","r",stdin);freopen("output.txt","w",stdout);
#define rep(i, begin, end) for (__typeof(end) i = (begin) - ((begin) > (end)); i != (end) - ((begin) > (end)); i += 1 - 2 * ((begin) > (end)))
#define endl '\n'
#define ll long long 
#define pii pair<int,int>
#define pll pair<long long ,long long >
#define pi acos(-1)
#define sz(x) ((int)x.size())
#define clr(x) memset(x, 0, sizeof(x))
#define init(x, a) memset(x, a, sizeof(x))
#define DEBUG true
using namespace std;


ll gcd(ll a,ll b,ll c){
	return __gcd(a,__gcd(b,c));
}


int main(){
	// FILE;
	SPEED;
	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++)
     	ans+=gcd(i,j,k);

     cout<<ans<<endl;
}
