A Conversation for Perfect Numbers
Perhaps I missed it?
FordsTowel Started conversation Feb 19, 2004
Hi there,
Lovely piece, on a complex subject.
Somehow I must have missed you covering this; but if the definition of a perfect number is: 'If the sum of the divisors exactly equals the number, the number is called perfect', wouldn't One qualify as an odd perfect number?
Just wondering what I missed.
Perhaps I missed it?
mathsmoose Posted Feb 26, 2004
You may have noticed that for the perfect number 6 the factors added together were 1, 2 and 3. Six is not counted in the list.
In other words the number you are checking isn't it self counted and thus for 1, 1 cannot be counted and the answer is 0 (a deficient number).
Perhaps I missed it?
Gnomon - time to move on Posted Mar 22, 2004
It does actually say it in the entry:
"Every number divides evenly into itself, but N is not normally included in the list of divisors of N."
Perhaps I missed it?
CRGreathouse Posted Nov 10, 2005
A number is perfect if it is the sum of its proper divisors n=s(n), or half the sum of its divisors 2n=sigma(n).
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