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

Home > Numbers
Odd-abundant numbers. (Posted on 2018-07-21) Difficulty: 3 of 5
Abundant numbers are numbers whose factors add up to a number larger than the original number (see also 12). The sequence starts 12, 18, 20, 24, 30, 36, 40, 42, 48... note that those abundant numbers are all even.
Therefore, you may think that there are all even, or perhaps wonder if there are any odd abundant numbers at all.
There are indeed odd abundant numbers; however the smallest isn't until 945 - with a sum of factors = 975.

List three more odd-abundant numbers.

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips Super - ab numbers! Comment 2 of 2 |
There are also abundant numbers whose proper divisors have a sum greater than twice the original number. The smallest one is 180, but no odd ones occur until 1,018,976,683,725.
  Posted by Ady TZIDON on 2018-07-22 08:02:06
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information