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38 changes: 38 additions & 0 deletions maths/special_numbers/disarium_number.py
Original file line number Diff line number Diff line change
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def is_disarium(num: int) -> bool:
"""
Check if a number is a Disarium number.

A Disarium number is a number in which the sum of its digits
powered with their respective positions is equal to the number itself.

Args:
num (int): The number to check.

Returns:
bool: True if num is a Disarium number, False otherwise.

Examples:
>>> is_disarium(135)
True
>>> is_disarium(89)
True
>>> is_disarium(75)
False
>>> is_disarium(9)
True
"""
digits = str(num)
total = 0
position = 1

for i in digits:
total += int(i) ** position
position += 1

return total == num


if __name__ == "__main__":
import doctest

doctest.testmod()