Problem 2061. Narcissistic number ?

Created by Jean-Marie Sainthillier

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Inspired by Problem 2056 created by Ted.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>In recreational number theory, a narcissistic number is a number that is the sum of its own digits each raised to the power of the number of digits (Wikipedia).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example :</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>153 = 1^3+5^3+3^3 = 1 + 125 + 27 = 153</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>1634 = 1^4+6^4+3^4+4^4 = 1 + 1296 + 81 + 256 = 1634 are narcissistic numbers.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Simply return 1 (true) if a supplied number is narcissistic or 0 (false) if not.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The tips num2str(666)-'0' = [6 6 6] should be useful.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

469 Solutions
236 Solvers

Last Solution submitted on Oct 22, 2020

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Martin C. on 5 Mar 2019

recreational number theory haha

Problem Recent Solvers236

Problem Tags

narcissistic

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 2061. Narcissistic number ?

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers236

Suggested Problems

More from this Author43

Problem Tags

Community Treasure Hunt

Problem 2061. Narcissistic number ?

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers236

Suggested Problems

More from this Author43

Problem Tags

Community Treasure Hunt

Players