Problem 2008. Number Persistence

Created by Zikobrelli

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>A number's persistence is the number of steps required to reduce it to a single digit by multiplying all its digits to obtain a second number, then multiplying all the digits of that number to obtain a third number, and so on until a one-digit number is obtained.</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, 66 has a persistence of three because it requires three steps to reduce it to one digit: 66-36-18-8.</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

99 Solutions
67 Solvers

Last Solution submitted on Jul 04, 2020

Last 200 Solutions

Problem Comments

Solution Comments

Solution 355890

1 Comment

1 Comment

James on 22 Nov 2013

*smacks forehead* Recursion makes a lot of sense here. Wish I had thought of it...

Problem Recent Solvers67

Problem Tags

persistence

Problem 2008. Number Persistence

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers67

Suggested Problems

More from this Author12

Problem Tags

Problem 2008. Number Persistence

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers67

Suggested Problems

More from this Author12

Problem Tags

Players