Problem 2491. Dudeney Numbers: Numbers which are the cube of their decimal sum

Created by Peter Cook

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","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\"?>\n<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>From Wikipedia: </w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>A Dudeney number is a positive integer that is a perfect cube such that the sum of its decimal digits is equal to the cube root of the number.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>512=(5+1+2)^3</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>4913=(4+9+1+3)^3</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>19683=(1+9+6+8+3)^3</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Write a function that returns true if a number is a Dudeney number and false otherwise.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Assume all numbers are of base 10.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>If a number is negative, assume that only the leading digit carries the negative sign e.g. -4913 -&gt; (-4+9+1+3)^3</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

73 Solutions
43 Solvers

Last Solution submitted on Dec 20, 2020

Last 200 Solutions

Problem Comments

Solution Comments

Solution 484340

1 Comment

1 Comment

Jean-Marie Sainthillier on 9 Aug 2014

Great minds think alike.

Problem Recent Solvers43

Problem Tags

a061209 cube dudeney

Community Treasure Hunt

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

Start Hunting!

Problem 2491. Dudeney Numbers: Numbers which are the cube of their decimal sum

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers43

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Problem 2491. Dudeney Numbers: Numbers which are the cube of their decimal sum

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers43

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Players