Abundant number
Detailed guide and Python implementation for the 'Abundant number' problem.
Problem Statement
Write a function is_abundant(n) that takes a positive integer n and returns True if n is an abundant number, or False otherwise. An abundant number is a number where the sum of its proper divisors (all divisors excluding the number itself) is greater than the number.
- •1 <= n <= 10^6
Examples
n = 12
True
Proper divisors of 12: 1, 2, 3, 4, 6. Sum = 16. Since 16 > 12, it is abundant.
n = 18
True
Proper divisors of 18: 1, 2, 3, 6, 9. Sum = 21. Since 21 > 18, it is abundant.
n = 7
False
Proper divisors of 7: 1. Sum = 1. Since 1 < 7, it is not abundant.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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