Perfect Numbers in Python

 

Perfect Number in Python

In [9]:

import math

n = int (input('Ente the number: '))

num = n

​

sum = 1

for i in range (2, int (math.sqrt(n)) + 1):

    if n % i == 0:

        r = int (n / i)

        if r * r == n:

            sum = sum + r;

        else:

            sum = sum + i + r

​

if sum == num:

    print (num, ' is a perfect number.')

else:

    print (num, ' is not a perfect number. Because the summation of divisor is: ', sum)

Ente the number: 8128
8128  is a perfect number.

Perfect numbers from n to m

In [10]:

n = 1

m = 8128

​

print ("Perfect numbers from ", n, " to ", m, ": ")

for x in range (n, m + 1):

    sum = 1

    for i in range (2, (int (math.sqrt(x))) + 1):

        if x % i == 0:

            r = int (x / i)

            if r * r == x:

                sum = sum + r

            else:

                sum = sum + r + i

    if sum == x:

            print (x, end = ' ')

Perfect numbers from  1  to  8128 : 
1 6 28 496 8128