A Python program to check if a given number is an abundant number or not.

 

An abundant number is a positive integer for which the sum of its proper divisors (excluding the number itself) is greater than the number itself. In other words, the sum of divisors of a number (excluding the number itself) is greater than the number.

For example, the proper divisors of 12 are 1, 2, 3, 4, and 6, and their sum is 16, which is greater than 12. Therefore, 12 is an abundant number.

Some examples of abundant numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 108, 112, 114, 120, 126, 132, 138, 140, 144, 150, ...

Abundant numbers are interesting because they have a variety of mathematical properties and relationships with other numbers.

Here's a Python program to check if a given number is an abundant number or not:

python
number = int(input("Enter a number: "))

# Calculate the sum of the proper divisors of the number
divisors_sum = sum(i for i in range(1, number) if number % i == 0)

# Check if the number is abundant or not
if divisors_sum > number:
    print(number, "is an abundant number")
else:
    print(number, "is not an abundant number")

In this program, I first take the input number from the user. I then calculate the sum of the proper divisors of the number using a list comprehension and the sum() function.

I then check if the sum of the divisors is greater than the number itself. If it is, I print a message saying that the number is an abundant number. Otherwise, I print a message saying that the number is not an abundant number.