Intended for: August 26, 2011
Timetable
- First draft entered by Alonso del Arte on August 25, 2011 ✓
- Draft reviewed by AL on August 25, 2011 ✓
- Draft to be approved by July 26, 2011
Yesterday's SOTD * Tomorrow's SOTD
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A064510: Numbers
such that the sum of the first
divisors of
is equal to
for some
.*
-
{ 1, 6, 24, 28, 496, 2016, 8128, 8190, ... }
Obviously all perfect numbers are included in this sequence, and no deficient numbers are. But if you take the perfect numbers out, you have the Erdős–Nicolas numbers left, which are a subset of the abundant numbers.
_______________
* This suggests a similar sequence: A?????? Numbers
such that the sum of the first
divisors of
is equal to a positive integer multiple of
for some
. (This sequence would include all perfect numbers as well as all
multiperfect numbers. It would include more than the Erdős–Nicolas numbers.)