// ABEY SAALE
// QUESTION KHUD KR SOLUTION KYU DEKH RHA H
 
 
 
 
 
 
 
 
//MAAF KIJIYEGA ME GUSSE ME IDHAR UDHAR NIKAL JATA HU
#include<bits/stdc++.h>
#define mod 1000000007
#define fr first
#define se second
#define endl "\n"
#define ll long long
#define PI 3.1415926535 
#define pb push_back
#define mpr make_pair
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define senky_bansal ios_base::sync_with_stdio(false);
#define IIIT_ALLAHABAD    cin.tie(NULL);cout.tie(NULL);
using namespace std;

ll fac[2000005];
void pre(){ fac[0]=1; fac[1]=1; for(int i=2;i<200005;i++) fac[i]=(i*fac[i-1])%mod;}
ll power(ll a,ll b){ll res=1;while(b){if(b&1) res=(res*a)%mod;a=(a*a)%mod;b=b/2;}return res%mod;}
ll ncr(ll n,ll r){return ((fac[n]*power(fac[r],mod-2))%mod*power(fac[n-r],mod-2))%mod;}
// DEKHIYE JI  WALID JO THE ABBA HAMARE WO YEH function CHHOD KR GYE THE

signed main()
{   



      
      senky_bansal
      IIIT_ALLAHABAD
      
      // pre();
      ll t;
      // cin>>t;
      t=1;
      while(t--)
      { 
         
         ll k;
         cin>>k;
         ll ans = 0;
         for(ll i=1;i<=k;i++)
         {
            for(ll j=1;j<=k;j++)
            {
                for(ll l=1;l<=k;l++)
                {
                    ll p1 = __gcd(i,j);
                    ll p2 = __gcd(p1,l);
                    ans+=p2;
                }
            }
         } 
         cout<<ans<<endl;
         

      }
      






}

























