What is a 'perfect' number and how many have been identified?

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What is a 'perfect' number and how many have been identified?

Question #151850. Asked by odo5435.
Last updated Dec 04 2024.
Originally posted Dec 04 2024 7:14 AM.

kstyle53

Answer has 3 votes

Currently Best Answer

kstyle53

15 year member
12 replies avatar

Answer has 3 votes.

Currently voted the best answer.

Grammar correction for clarity:

A perfect number is one that its the sum of its proper divisors (excluding itself). For example, the divisors of 6 are 1, 2, and 3. 1+2+3=6. 28 is another example of a perfect number.

There are 51 known perfect numbers, with the last one being discovered back in 2018. See (link

https://byjus.com/maths/perfect-numbers/) for more information.

Dec 04 2024, 7:37 AM

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Answer 1

A new prefect number was calculated in October this year bringing the total number known to 52. It has 82,048,640 digits.
Interestingly, and as yet no one knows why, all 52 known perfect numbers end with either a 6 or an 8.

https://en.wikipedia.org/wiki/List_of_Mersenne_primes_and_perfect_numbers

What is a 'perfect' number and how many have been identified?

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