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2. Multiply perfect number - Wikipedia

   en.wikipedia.org/wiki/Multiply_perfect_number

   It can be proven that: . For a given prime number p, if n is p-perfect and p does not divide n, then pn is (p + 1)-perfect.This implies that an integer n is a 3-perfect number divisible by 2 but not by 4, if and only if n/2 is an odd perfect number, of which none are known.

3. List of Mersenne primes and perfect numbers - Wikipedia

   en.wikipedia.org/wiki/List_of_Mersenne_primes...

   So, 6 is a perfect number because the proper divisors of 6 are 1, 2, and 3, and 1 + 2 + 3 = 6. [2] [4] Euclid proved c. 300 BCE that every prime expressed as M p = 2 p − 1 has a corresponding perfect number M p × (M p +1)/2 = 2 p − 1 × (2 p − 1). For example, the Mersenne prime 2 2 − 1 = 3 leads to the corresponding perfect number 2 2 ...

4. Perfect number - Wikipedia

   en.wikipedia.org/wiki/Perfect_number

   In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28. The first four perfect ...

5. Granville number - Wikipedia

   en.wikipedia.org/wiki/Granville_number

   The only known -perfect number with three distinct prime factors is 126 = 2 · 3 2 · 7. [2] Every number of form 2^(n - 1) * (2^n - 1) * (2^n)^m where m >= 0, where 2^n - 1 is Prime, are Granville Numbers. So, there are infinitely many Granville Numbers and the infinite family has 2 prime factors- 2 and a Mersenne Prime.

6. US power deals down 36% in last year due to political ...

   www.aol.com/news/us-power-deals-down-36...

   The value of U.S. power and utilities deals fell over the last year to $27.8 billion, down by 36% from 2023, as political uncertainty ahead of the Nov. 5 presidential election slowed transactions ...

7. N.J. Man Accused of Stabbing His Fiancée to Death 1 ... - AOL

   www.aol.com/n-j-man-accused-stabbing-131911300.html

   Jose Melo, 52, is facing a murder charge after Naket Jadix Trinidad Maldonado, 31, was found dead on Monday, Dec. 30, 2024

8. Try these four expert-approved treat-delivery methods to keep ...

   www.aol.com/try-four-expert-approved-treat...

   2. Dropped on the ground. This encourages sniffing, and will help keep your dog busy as they search for tasty treats! Burton adds, “It’s also an excellent choice for dogs prone to jumping ...

9. Category:Perfect numbers - Wikipedia

   en.wikipedia.org/wiki/Category:Perfect_numbers

   Notably, absent consensus, please do not add articles about individual perfect numbers themselves (such as 6). Pages in category "Perfect numbers" The following 11 pages are in this category, out of 11 total.