Python Program to Find the Perfect Number between 1 to 1000

Tutorialsrack 25/04/2020 Python

In this Python program, we will learn how to find or print the perfect number between 1 to 1000 or between a specific range.

What is a Perfect Number?

A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. 

For Example, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number.

The sum of divisors of a number, excluding the number itself, is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum. In other words, a perfect number is a number that is half the sum of all of its positive divisors including itself

I.e. σ1(n) = 2n

For Example, 28 is perfect as 1 + 2 + 4 + 7 + 14 + 28 = 56 = 2 × 28

Here is the code of the program to find or print the perfect number between 1 to 1000 or between a specific range.

# Python Program to Find the Perfect Number between 1 to 1000 or Between a Specific Range
 
# Take the input from the user
MinValue = int(input("Enter any Minimum Value: "))
MaxValue = int(input("Enter any Maximum Value: "))
 
# initialise sum
print("\nPerfect Number Between {0} to {1}".format(MinValue,MaxValue))
# Checking the Perfect Number
for Number in range(MinValue, MaxValue - 1):
    Sum = 0
    for n in range(1, Number - 1):
        if(Number % n == 0):
            Sum = Sum + n       
    # display the result
    if(Sum == Number):
        print("%d " %Number)

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