# /usr/bin/python3
# -*- coding: utf-8 -*-
from queue import Queue
from queue import LifoQueue as Stack
from math import sqrt, floor, ceil, log2, gcd
# from fractions import gcd
from itertools import permutations, combinations
from operator import itemgetter
from functools import cmp_to_key


INF=1001001001
__MOD__=(10**9)+7
yn = 'YNeos'
judge = False
cnt = 0
ans = None


def lcm(a, b):
    return (a*b) // gcd(a,b)

def intinput():
    return int(input())

def mulinputs():
    return map(int,input().split())

def lineinputs(func=intinput):
    datas = []
    while True:
        try:
            datas.append(func())
        except EOFError:
            break
    return datas

class ModInt():
    def __init__(self, x):
        self.__x = (x % __MOD__)
    def __add__(self, other):
        if type(other) == int:
            other = self.__class__(other)
            return int(self.__class__((self.__x + other.__x)%__MOD__))
        elif type(other) == ModInt:
            return self.__class__((self.__x + other.__x)%__MOD__)
        else:
            raise Exception("Not Int or Not ModInt")
    def __sub__(self, other):
        if type(other) == int:
            other = self.__class__(other)
            return int(self.__class__((self.__x - other.__x)%__MOD__))
        elif type(other) == ModInt:
            return self.__class__((self.__x - other.__x)%__MOD__)
        else:
            raise Exception("Not Int or Not ModInt")
    def __mul__(self, other):
        if type(other) == int:
            other = self.__class__(other)
            return int(self.__class__((self.__x * other.__x)%__MOD__))
        elif type(other) == ModInt:
            return self.__class__((self.__x * other.__x)%__MOD__)
        else:
            raise Exception("Not Int or Not ModInt")
    def __truediv__(self, other):
        if type(other) == int:
            other = self.__class__(other)
            return int(self.__class__((self.__x * other.__modinv())%__MOD__))
        elif type(other) == ModInt:
            return self.__class__((self.__x * other.__modinv())%__MOD__)
        else:
            raise Exception("Not Int or Not ModInt")
    def __pow__(self, other):
        if type(other) == int:
            other = self.__class__(other)
            return int(self.__class__(pow(self.__x, other.__x, __MOD__)))
        elif type(other) == ModInt:
            return self.__class__(pow(self.__x, other.__x, __MOD__))
        else:
            raise Exception("Not Int or Not ModInt")
    def __modinv(self, m=__MOD__):
        a = self.__x
        if a == 0:
            raise ZeroDivisionError()
        if gcd(a, m) != 1:
            raise Exception("%sの逆数は求まりません。" % a)
        b, u, v = m, 1, 0
        while b != 0:
            t = a//b;
            a -= t*b
            a, b = b, a
            u -= t * v
            u, v = v, u
        u %= m
        if u < 0:
            u += m
        return u
    def __int__(self):
        return self.__x



if __name__ == '__main__':
    K = intinput()

    total = 0
    memo = [ [-1] * (K+1) for _ in range(K+1)]
    for a in range(1,K+1):
        for b in range(a, K+1):
            val = gcd(a,b)
            memo[a][b] = val
            memo[b][a] = val
            memo[a][val] = val
            memo[b][val] = val
    for a in range(1, K+1):
        for b in range(1, K+1):
            for c in range(1, K+1):
                total += memo[memo[a][b]][c]
    print(total)


Measured memory_bytes: 9992