from math import gcd

k = int(eval(input()))

sum =0

for a in range(1, k+1):

     for b in range(1, k+1):

         for c in range(1, k+1):

             sum += gcd(gcd(a, b), c)

print(sum)
import math

k = int(eval(input()))

sum =0

for a in range(1, k+1):

     for b in range(1, k+1):

         x = math.gcd(a, b)

         for c in range(1, k+1):

             sum += math.gcd(x, c)

print(sum)
from math import gcd

k = int(eval(input()))
sum = 0
for a in range(1, k + 1):
    for b in range(1, k + 1):
        for c in range(1, k + 1):
            sum += gcd(gcd(a, b), c)
print(sum)

import math

k = int(eval(input()))
sum = 0
for a in range(1, k + 1):
    for b in range(1, k + 1):
        x = math.gcd(a, b)
        for c in range(1, k + 1):
            sum += math.gcd(x, c)
print(sum)

-from math import gcd +import math +        x = math.gcd(a, b) -            sum += gcd(gcd(a, b), c) +            sum += math.gcd(x, c)