#Programmer: Sriram Pemmaraju
#Date: March 4th 2011

# This function returns a list with all the factors of n.
# The factors are in order starting with 1 and ending with n.
def factors(n):
    L = []
    for i in range(1, n+1):
        if n % i == 0:
            L = L + [i]
    return L

# A positive integer n is perfect if its factors (excluding itself)
# sum to n
def isPerfect(n):
    L =  factors(n)
    return sum(L[0:len(L)-1]) == n

# This is the main program. It filters numbers that are
# perfect and prints out the list
print filter(isPerfect, range(10000))