-=> Quoting Tim Hutzler to Alex Walker <=-
 TH> Just curious... What makes a number, 'perfect?'
A positive integer X is called "perfect" when it equals the sum of its 
divisors
bar itself (obviously).
Examples:
   6 = 1 + 2 + 3
  28 = 1 + 2 + 4 + 7 + 14
 496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248
8128 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 127 + 254 + 508 + 1016 + 2032 + 4064
The last time I looked at these numbers is a looong time ago, but at least 
then
the following questions were unsolved:
- given X, is there a quick way to determine its perfectness ?
- is the number of perfect numbers finite ? If not, what is its distribution 

- are all perfect numbers even ?
Peter
... I came, I saw, got sidetracked, forgot why I was here...  
--- EBO-BBS Diemen - NL
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