All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Another Dudeney problem (Posted on 2018-03-09) Difficulty: 3 of 5
Dudeney once asked what positive numbers have cube roots equal to the sum of their digits.
Excluding the trivial (i.e. number 1) Dudeney listed five solutions!

Find them!

Hint: the five numbers are below 25000.

See The Solution Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
No Subject | Comment 1 of 2
512     = 8^3    ;   8 = 5 + 1 + 2
4,913  = 17^3  ; 17 = 4 + 9 + 1 + 3
5,832  = 18^3  ; 18 = 5 + 8 + 3 + 2
17,576= 26^3  ; 26 = 1 + 7 + 5 + 7 + 6
19,683= 27^3  ; 27 = 1 + 9 + 6 + 8 + 3

I believe these interesting numbers are named for Dudeney.


  Posted by JayDeeKay on 2018-03-09 12:01:11
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information