def sumdivisores(n):
"""
>>> sumdivisores(12)
28
>>> sumdivisores(220)
504
"""
if n == 1:
return 1
elif n == 2:
return 3
elif n == 3:
return 4
s = n + 1
for d in range(2, n):
if (d * d) == n:
return s + (n // d)
elif (d * d) > n:
return s
elif (n % d) == 0:
s = s + d + (n // d)
return s
def abundante(n):
"""
>>> abundante(40)
True
>>> abundante(45)
False
"""
return sumdivisores(n) > 2 * n
def abundantes_consecutivos(desde, hasta):
"""
>>> abundantes_consecutivos(5000, 10000)
3
"""
cont = 0
for n in range(desde, hasta):
if abundante(n) and abundante(n + 1):
cont += 1
return cont
def primer_consecutivo(desde, hasta):
"""
>>> primer_consecutivo(5000, 10000)
5775
>>> primer_consecutivo(6000, 7000)
-1
