#!/usr/bin/python
import factor
amicables = set()
for x in range(2, 10000):
y = factor.divisors(x)
y.remove(x)
y = sum(y)
z = factor.divisors(y)
z.remove(y)
z = sum(z)
if z == x and x != y:
amicables.add(x)
amicables.add(y)
print(sum(amicables))
#!/usr/bin/python
import factor
amicables = set()
for x in range(2,10000):
y = factor.divisors(x)
y.remove(x)
y = sum(y)
z = factor.divisors(y)
z.remove(y)
z = sum(z)
if z == x and x != y:
amicables.add(x)
amicables.add(y)
print(sum(amicables))
#!/usr/bin/python
import itertools
import factor
sum = 0
for x in itertools.count():
sum += x
if len(factor.divisors(x)) > 500:
print(x)
break
