#include<bits/stdc++.h>

using namespace std;

typedef long long int li;
typedef long double ld;
typedef vector<li> vi;
typedef pair<li,li> pi;
#define PB push_back
#define MP make_pair
#define F first
#define S second
#define B begin()
#define E end()
#define f(i,l,r) for(li i=l;i<=r;++i)
#define fr(i,l,r) for(li i=l;i>=r;--i)
#define u_map unordered_map
#define endl "\n"

li fastpow(li base,li exp,li M) 
{
    li res=1;
    while(exp>0) {
        if(exp&1)
            res=(res*base)%M;

        base=(base*base)%M;
        exp>>=1;
    }
    return res;
}

int main()
{    
    

    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);

    li k;

    cin>>k;

    li ans=0;

    f(i,1,k)
    {
        f(j,1,k)
        {
            f(l,1,k)
            {
                ans+=__gcd(i,__gcd(j,l));
            }
        }
    }

    cout<<ans;

    return 0;
}