Checking whether the number is a Perfect Number

Author: OmkarPathak

Programs/P58_PerfectNumber.py

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+# Author: OMKAR PATHAK
+
+# Wikipedia : In number theory, a perfect number is a positive integer that is equal to the sum of
+# its proper positive divisors, that is, the sum of its positive divisors excluding the number itself
+# (also known as its aliquot sum). Equivalently, a perfect number is a number that is half the sum of all
+# of its positive divisors (including itself).
+# Example : The first perfect number is 6, because 1, 2, and 3 are its proper positive divisors,
+# and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors:
+# ( 1 + 2 + 3 + 6 ) / 2 = 6. The next perfect number is 28 = 1 + 2 + 4 + 7 + 14. This is followed by the
+# perfect numbers 496 and 8128.
+
+def perfectNumber(number):
+    sum = 0
+    for x in range(1, number):
+        if number % x == 0:
+            sum += x
+    return sum == number
+
+if __name__ == '__main__':
+    print(perfectNumber(6)) # True
+    print(perfectNumber(3)) # False