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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...

   Meanwhile, perfect numbers are natural numbers that equal the sum of their positive proper divisors, which are divisors excluding the number itself. So, 6 is a perfect number because the proper divisors of 6 are 1, 2, and 3, and 1 + 2 + 3 = 6. [2] [4] There is a one-to-one correspondence between the Mersenne primes and the even

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.

5. Table of prime factors - Wikipedia

   en.wikipedia.org/wiki/Table_of_prime_factors

   A number where some but not all prime factors have multiplicity above 1 is neither square-free nor squareful. The Liouville function λ(n) is 1 if Ω(n) is even, and is -1 if Ω(n) is odd. The Möbius function μ(n) is 0 if n is not square-free. Otherwise μ(n) is 1 if Ω(n) is even, and is −1 if Ω(n) is odd. A sphenic number has Ω(n) = 3 ...

6. Postal Service worker accused of swiping cash, coins and ...

   www.aol.com/news/postal-worker-accused-swiping...

   A U.S. Postal Service worker from Compton was arrested on suspicion of swiping more than 20 checks from the mail and depositing $281,000 into various bank accounts under her name, authorities said.

7. Holiday sleep trouble? 5 secrets of a better snooze

   www.aol.com/holiday-sleep-trouble-5-secrets...

   Updated December 27, 2024 at 10:34 AM Getting a good night's sleep can be a little more challenging amid the hype of the holidays. With changes in routine, diet and potentially time zones, quality ...