Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5 - Page 310: 74


Narcissistic number

Work Step by Step

A number is said to be a narcissistic number when its own digits are raised to the power of the number of digits and then all of them are summed up together and forms the original number. So, here the provided number is \[9474\]. Total number of digits is \[4\]. Therefore, \[\begin{align} & {{9}^{4}}+{{4}^{4}}+{{7}^{4}}+{{4}^{4}}=6561+256+2401+256 \\ & =9474 \end{align}\]. So, \[9474\]is a narcissistic number.
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