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Jul 17, 2022 · Narcissistic number - GeeksforGeeks. Last Updated : 17 Jul, 2022. Given N, check whether it is a Narcissistic number or not. Note: Narcissistic Number is a number that is the sum of its own digits each raised to the power of the number of digits. Examples : Input : 153. Output : yes. Explanation: 1^3+5^3+3^3=153. Input : 1634. Output : yes.
In number theory, a narcissistic number (also known as a pluperfect digital invariant (PPDI), an Armstrong number (after Michael F. Armstrong) or a plus perfect number) in a given number base is a number that is the sum of its own digits each raised to the power of the number of digits.
An n-digit number that is the sum of the nth powers of its digits is called an n-narcissistic number. It is also sometimes known as an Armstrong number, perfect digital invariant (Madachy 1979), or plus perfect number.
Thus, narcissistic numbers are numbers that can be represented by some kind of mathematical manipulation of their digits. A whole number, or integer, that is the sum of the n th powers of its digits (e.g., 153 = 1 3 + 5 3 + 3 3) is called a perfect…. Read More.
Jan 6, 2024 · and so 153 is a narcissistic decimal number; Task. Generate and show here the first 25 narcissistic decimal numbers. Note: =, the first in the series. See also the OEIS entry: Armstrong (or Plus Perfect, or narcissistic) numbers. MathWorld entry: Narcissistic Number.
Mar 7, 2019 · An n digit number is narcissistic if the sum of its digits to the nth power equal the original number. For example with 2 digits, say I choose the number 36: 3 2 + 6 2 = 45.
May 25, 1999 · A table of the largest known narcissistic numbers in various Bases is given by Pickover (1995). A tabulation of narcissistic numbers in various bases is given by (Corning). A closely related set of numbers generalize the narcissistic number to -Digit numbers which are the sums of any single Power of their Digits.
