maths.special_numbers.armstrong_numbers¶

An Armstrong number is equal to the sum of its own digits each raised to the power of the number of digits.

For example, 370 is an Armstrong number because 3*3*3 + 7*7*7 + 0*0*0 = 370.

Armstrong numbers are also called Narcissistic numbers and Pluperfect numbers.

On-Line Encyclopedia of Integer Sequences entry: https://oeis.org/A005188

Attributes¶

`FAILING`
`PASSING`

`armstrong_number`(→ bool)	Return True if n is an Armstrong number or False if it is not.
`main`()	Request that user input an integer and tell them if it is Armstrong number.
`narcissistic_number`(→ bool)	Return True if n is a narcissistic number or False if it is not.
`pluperfect_number`(→ bool)	Return True if n is a pluperfect number or False if it is not

maths.special_numbers.armstrong_numbers.armstrong_number(n: int) → bool¶

Return True if n is an Armstrong number or False if it is not.

>>> all(armstrong_number(n) for n in PASSING)
True
>>> any(armstrong_number(n) for n in FAILING)
False

maths.special_numbers.armstrong_numbers.main()¶: Request that user input an integer and tell them if it is Armstrong number.

maths.special_numbers.armstrong_numbers.narcissistic_number(n: int) → bool¶

Return True if n is a narcissistic number or False if it is not.

>>> all(armstrong_number(n) for n in PASSING)
True
>>> any(armstrong_number(n) for n in FAILING)
False

maths.special_numbers.armstrong_numbers.pluperfect_number(n: int) → bool¶

Return True if n is a pluperfect number or False if it is not

>>> all(armstrong_number(n) for n in PASSING)
True
>>> any(armstrong_number(n) for n in FAILING)
False

maths.special_numbers.armstrong_numbers.PASSING = (1, 153, 370, 371, 1634, 24678051, 115132219018763992565095597973971522401)¶