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* Added new tests! * [ADD]: Inproved Tests * fixed * Removed spaces * Changed the file name * Added Changes * changed the code and kept the test cases * changed the code and kept the test cases * missed the line * removed spaces * Update power_using_recursion.py * Added new tests in Signum * Few things added * Removed few stuff and added few changes * Fixed few things * Reverted the function * Update maths/signum.py Co-authored-by: Christian Clauss <cclauss@me.com> * Added few things * Update maths/signum.py Co-authored-by: Christian Clauss <cclauss@me.com> * Added the type hint back * Update signum.py * Added NEW tests for Perfect_Number * Update maths/special_numbers/perfect_number.py Co-authored-by: Christian Clauss <cclauss@me.com> * Added the line back * Update maths/special_numbers/perfect_number.py Co-authored-by: Christian Clauss <cclauss@me.com> * Fixed a space * Updated * Reverted changes * Added the old code and FIXED few LINES * Fixed few things * Changed Test CASES * Update perfect_number.py * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --------- Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
56 lines
1.3 KiB
Python
56 lines
1.3 KiB
Python
"""
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== Perfect Number ==
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In number theory, a perfect number is a positive integer that is equal to the sum of
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its positive divisors, excluding the number itself.
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For example: 6 ==> divisors[1, 2, 3, 6]
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Excluding 6, the sum(divisors) is 1 + 2 + 3 = 6
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So, 6 is a Perfect Number
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Other examples of Perfect Numbers: 28, 486, ...
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https://en.wikipedia.org/wiki/Perfect_number
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"""
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def perfect(number: int) -> bool:
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"""
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Check if a number is a perfect number.
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A perfect number is a positive integer that is equal to the sum of its proper
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divisors (excluding itself).
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Args:
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number: The number to be checked.
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Returns:
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True if the number is a perfect number, False otherwise.
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Examples:
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>>> perfect(27)
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False
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>>> perfect(28)
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True
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>>> perfect(29)
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False
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>>> perfect(6)
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True
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>>> perfect(12)
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False
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>>> perfect(496)
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True
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>>> perfect(8128)
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True
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>>> perfect(0)
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>>> perfect(-3)
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>>> perfect(12.34)
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>>> perfect("day")
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>>> perfect(["call"])
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"""
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return sum(i for i in range(1, number // 2 + 1) if number % i == 0) == number
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if __name__ == "__main__":
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print("Program to check whether a number is a Perfect number or not...")
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number = int(input("Enter number: ").strip())
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print(f"{number} is {'' if perfect(number) else 'not '}a Perfect Number.")
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