#include <bits/stdc++.h>
#define REP(i, n) for(int i=0;i<int(n);++i)
using namespace std;
template<class A>void pr(A a){cout << a << endl;}
template<class A,class B>void pr(A a,B b){cout << a << " "  ;pr(b);}
template<class A,class B,class C>void pr(A a,B b,C c){cout << a << " " ;pr(b,c);}
template<class A,class B,class C,class D>void pr(A a,B b,C c,D d){cout << a << " " ;pr(b,c,d);}
typedef long long ll;
typedef pair<ll, ll> l_l;
typedef pair<int, int> i_i;
int INF=numeric_limits<int>::max();
// for(int j=0;j<N;++j) {}
int gcd(int a, int b)
{
   if (a%b == 0)
   {
       return(b);
   }
   else
   {
       return(gcd(b, a%b));
   }
}

int main(void) {
  int k;cin>>k;
  ll sum=0;
  for(int a=1;a<=k;++a) {
  for(int b=1;b<=k;++b) {
  for(int c=1;c<=k;++c) {
    sum+=gcd(gcd(a,b),c);
  }
  }
  }
  pr(sum);
  return 0;
}
