Problem 6: Perfection

From the article Number Theory in the 1994 Microsoft Encarta: "If
a, b, c are integers such that a = bc, a is called a multiple of b or of
c, and b or c is called a divisor or factor of a. If c is not �1, b is
called a proper divisor of a. Even integers, which include 0, are
multiples of 2, for example, -4, 0, 2, 10; an odd integer is an
integer that is not even, for example, -5, 1, 3, 9. A perfect number
is a positive integer that is equal to the sum of all its positive,
proper divisors; for example, 6, which equals 1 + 2 + 3, and 28,
which equals 1 + 2 + 4 + 7 + 14, are perfect numbers. A positive
number that is not perfect is imperfect and is deficient or abundant
according to whether the sum of its positive, proper divisors is
smaller or larger than the number itself. Thus, 9, with proper
divisors 1, 3, is deficient; 12, with proper divisors 1, 2, 3, 4, 6, is
abundant."

Problem Statement:  Given a number, determine if it is perfect,
abundant, or deficient.

Input: A list of N positive integers (none greater than 60,000),
with 1 < N < 100. A 0 will mark the end of the list.

Output: The first line of output should read PERFECTION
OUTPUT.  The next N lines of output should list for each input
integer whether it is perfect, deficient, or abundant, as shown in the
example below.  Format counts: the echoed integers should be
right justified within the first 5 spaces of the output line, followed
by two blank spaces, followed by the description of the integer. 
The final line of output should read END OF OUTPUT .

Example:   The following input data:

15 28 6 56 60000 22 496 0

should produce the following output:

PERFECTION OUTPUT
15  DEFICIENT
28  PERFECT
6  PERFECT
56  ABUNDANT
60000  ABUNDANT
22  DEFICIENT
496  PERFECT
END OF OUTPUT