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Can you name the lowest eight numbers where the sum of their factors adds up to the number itself?
created by
luk
Enter a number in the box below
Correctly named numbers will show up below
Answers do not have to be guessed in order
Source:
Wikipedia
e.g. 16 is not a perfect number since 1 + 2 + 4 + 8 = 15 not 16. Be warned this is tough!
This quiz has not been verified by Sporcle
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There are
10 comments
for this game.
(Warning: comments may contain spoilers)
Perfect Numbers Quiz
by
luk
Created Dec 13, 2009 in
Science
Game Plays 592
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Numbers Quizzes
eight
add
lowest
perfect
sum
factor
itself
max123
:
Dec 13th, 2009 at 13:29 GMT
9 points
my first guess, was of course 2305843008139952128...
Tyrael
:
Dec 13th, 2009 at 19:34 GMT
5 points
Of course. In all seriousness, to expect an average human being (remember, your typical audience is not comprised of cutting-edge supercomputers!) to think of some of those answers is beyond unrealistic...
Catcher3M
:
Dec 14th, 2009 at 03:23 GMT
-4 points
Can you please tell me how the factors of 6 (1, 2, 3, 6, judging by the example) or (2, 3, judging by reality) add up to 6? Also, how do the factors of 28 (7, 2, 2) add up to 28? And the factors of 496 (31, 2, 2, 2, 2) add up to 496?
russman10987
:
Dec 14th, 2009 at 03:35 GMT
3 points
@Catcher3M, you ignore the number itself, so for 6, 1+2+3=6. And for 28, 1+2+4+7+14=28
ddt
:
Jan 12th, 2010 at 05:21 GMT
4 points
The formula is really simple. Take a power of 2, say 2^p, and subtract 1. If that number, 2^p - 1 , is prime, you multiply it by the previous power of 2, i.e., 2^(p-1) and presto, you've got a perfect number. Of course, this gets hopelessly out of hand.
awesomeguy2204
:
Apr 3rd, 2010 at 22:33 GMT
2 points
Sorry I didn't know that 23058423008139952128 was a perect number.
gustavpolo
:
Jul 4th, 2010 at 19:38 GMT
2 points
@ddt that formula only works when p is also prime
WyvernSabres
:
Nov 8th, 2010 at 20:56 GMT
1 point
@gustavpolo: Since ddt said that 2^p - 1 is prime, your proviso is unnecessary. That can't happen unless p is prime anyway.
MikeN
:
May 2nd, 2011 at 07:07 GMT
1 point
Needs more time or get rid of the last one.
MikeN
:
May 3rd, 2011 at 01:46 GMT
1 point
You left out zero.
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