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50 lines
1.0 KiB
Python
50 lines
1.0 KiB
Python
"""
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== Krishnamurthy Number ==
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It is also known as Peterson Number
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A Krishnamurthy Number is a number whose sum of the
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factorial of the digits equals to the original
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number itself.
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For example: 145 = 1! + 4! + 5!
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So, 145 is a Krishnamurthy Number
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"""
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def factorial(digit: int) -> int:
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"""
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>>> factorial(3)
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6
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>>> factorial(0)
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1
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>>> factorial(5)
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120
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"""
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return 1 if digit in (0, 1) else (digit * factorial(digit - 1))
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def krishnamurthy(number: int) -> bool:
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"""
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>>> krishnamurthy(145)
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True
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>>> krishnamurthy(240)
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False
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>>> krishnamurthy(1)
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True
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"""
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fact_sum = 0
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duplicate = number
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while duplicate > 0:
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duplicate, digit = divmod(duplicate, 10)
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fact_sum += factorial(digit)
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return fact_sum == number
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if __name__ == "__main__":
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print("Program to check whether a number is a Krisnamurthy Number or not.")
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number = int(input("Enter number: ").strip())
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print(
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f"{number} is {'' if krishnamurthy(number) else 'not '}a Krishnamurthy Number."
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)
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