def gcd(a,b):
    while b: a,b = b,a%b
    return a
    
N = int(raw_input())
ans = 0
for a in xrange(3,N/4/2+1):
    for b in xrange(2,a):
        c2 = a*a+b*b
        c = int(c2**0.5)
        if N-4*(a+b+c) < 0: break
        if c*c != c2: continue
        if gcd(a,b) == 1: ans += 1
print ans