#ifndef _GLIBCXX_NO_ASSERT
  #include <cassert>
  #endif
  #include <cctype>
  #include <cerrno>
  #include <cfloat>
  #include <ciso646>
  #include <climits>
  #include <clocale>
  #include <cmath>
  #include <csetjmp>
  #include <csignal>
  #include <cstdarg>
  #include <cstddef>
  #include <cstdio>
  #include <cstdlib>
  #include <cstring>
  #include <ctime>

  #if __cplusplus >= 201103L
  #include <ccomplex>
  #include <cfenv>
  #include <cinttypes>
  #include <cstdbool>
  #include <cstdint>
  #include <ctgmath>
  #include <cwchar>
  #include <cwctype>
  #endif

  // C++
  #include <algorithm>
  #include <bitset>
  #include <complex>
  #include <deque>
  #include <exception>
  #include <fstream>
  #include <functional>
  #include <iomanip>
  #include <ios>
  #include <iosfwd>
  #include <iostream>
  #include <istream>
  #include <iterator>
  #include <limits>
  #include <list>
  #include <locale>
  #include <map>
  #include <memory>
  #include <new>
  #include <numeric>
  #include <ostream>
  #include <queue>
  #include <set>
  #include <sstream>
  #include <stack>
  #include <stdexcept>
  #include <streambuf>
  #include <string>
  #include <typeinfo>
  #include <utility>
  #include <valarray>
  #include <vector>

  #if __cplusplus >= 201103L
  #include <array>
  #include <atomic>
  #include <chrono>
  #include <condition_variable>
  #include <forward_list>
  #include <future>
  #include <initializer_list>
  #include <mutex>
  #include <random>
  #include <ratio>
  #include <regex>
  #include <scoped_allocator>
  #include <system_error>
  #include <thread>
  #include <tuple>
  #include <typeindex>
  #include <type_traits>
  #include <unordered_map>
  #include <unordered_set>
  #endif
#define fi first
#define se second
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rrep(i, n) for (int i = 1; i <= (n); ++i)
#define drep(i, n) for (int i = (n)-1; i >= 0; --i)
#define srep(i, s, t) for (int i = s; i < t; ++i)
#define rng(a) a.begin(), a.end()
#define rrng(a) a.rbegin(), a.rend()
#define maxs(x, y) (x = max(x, y))
#define mins(x, y) (x = min(x, y))
#define limit(x, l, r) max(l, min(x, r))
#define lims(x, l, r) (x = max(l, min(x, r)))
#define isin(x, l, r) ((l) <= (x) && (x) < (r))
#define pb push_back
#define eb emplace_back
#define sz(x) (int)(x).size()
#define pcnt __builtin_popcountll
#define uni(x) x.erase(unique(rng(x)), x.end())
#define show(x) cout << #x << " = " << x << endl;
#define print(x) cout << x << endl;
#define PQ(T) priority_queue<T, v(T), greater<T> >
#define bn(x) ((1 << x) - 1)
#define dup(x, y) (((x) + (y)-1) / (y))
#define newline puts("")
#define v(T) vector<T>
#define vv(T) v(v(T))
using namespace std;
typedef long long int ll;
typedef unsigned uint;
typedef unsigned long long ull;
typedef pair<int, int> P;
typedef tuple<int, int, int> T;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<P> vp;
typedef vector<T> vt;
ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
int main() {
  int k;
  cin >> k;

  ll sum= 0;
  for(ll i = 1;i<=k;i++) {
    for(ll j = 1;j<=k;j++) {
      for(ll l = 1;l<=k;l++) {
        sum+=gcd(i,gcd(j,l));
      }
    }
  }
  print(sum);
  return 0;
}