from math import gcd



K = int(eval(input()))

ans = 0

for i in range(1, K + 1):

    for j in range(1, K + 1):

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

            ans += gcd(i, gcd(k, j))

print(ans)


from math import gcd



K = int(eval(input()))



ans = 0

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

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

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

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



print(ans)

from math import gcd

K = int(eval(input()))
ans = 0
for i in range(1, K + 1):
    for j in range(1, K + 1):
        for k in range(1, K + 1):
            ans += gcd(i, gcd(k, j))
print(ans)

from math import gcd

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

-for i in range(1, K + 1): -    for j in range(1, K + 1): -        for k in range(1, K + 1): -            ans += gcd(i, gcd(k, j)) +for a in range(1, K + 1): +    for b in range(1, K + 1): +        for c in range(1, K + 1): +            ans += gcd(gcd(a, b), c)