Tuesday, November 21, 2017

Proper divisors and perfect numbers...........



Perfect number. Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128.

perfect number | mathematics | Britannica.com

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Perfect number - Wikipedia

https://en.wikipedia.org/wiki/Perfect_number
Equivalently, the number 6 is equal to half the sum of all its positive divisors: ( 1 + 2 + 3 + 6 ) / 2 = 6. The next perfect number is 28 = 1 + 2 + 4 + 7 + 14. This is followed by the perfect numbers 496 and 8128 (sequence A000396 in the OEIS).
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Perfect Number -- from Wolfram MathWorld

mathworld.wolfram.com/PerfectNumber.html
by EW Weisstein - ‎2003 - ‎Cited by 8 - ‎Related articles
For example, the first few perfect numbers are 6, 28, 496, 8128, ... (OEIS A000396) .... "Perfect Numbers." §B1 in Unsolved Problems in Number Theory, 2nd ed.

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