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  2. 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. [1] 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.

  3. Multiply perfect number - Wikipedia

    en.wikipedia.org/wiki/Multiply_perfect_number

    A unitary multi 2-perfect number is naturally called a unitary perfect number. In the case k > 2, no example of a unitary multi k -perfect number is yet known. It is known that if such a number exists, it must be even and greater than 10 102 and must have more than forty four odd prime factors.

  4. Hall's marriage theorem - Wikipedia

    en.wikipedia.org/wiki/Hall's_marriage_theorem

    G admits an X-perfect matching. G admits an X-perfect fractional matching. The implication follows directly from the fact that X-perfect matching is a special case of an X-perfect fractional matching, in which each weight is either 1 (if the edge is in the matching) or 0 (if it is not). G satisfies Hall's marriage condition.

  5. 2 Social Security Policy Changes Americans Need

    www.aol.com/2-social-security-policy-changes...

    Millions of older Americans rely on Social Security, but the program is far from perfect. The program’s cost-of-living adjustments need an overhaul. The thresholds at which taxes apply to ...

  6. Update: ABC Is "Pausing" 'The Bachelorette,' But It's Not ...

    www.aol.com/abc-pausing-bachelorette-skipping...

    Original story 2/8/25: Looks like some major changes are coming to Bachelor Nation.Last night, news broke that ABC is "skipping" the upcoming cycle of The Bachelorette.. According to Deadline, the ...

  7. Quasiperfect number - Wikipedia

    en.wikipedia.org/wiki/Quasiperfect_number

    For a perfect number n the sum of all its divisors is equal to 2n. For an almost perfect number n the sum of all its divisors is equal to 2n - 1. Numbers n exist whose sum of factors = 2n + 2. They are of form 2^(n - 1) * (2^n - 3) where 2^n - 3 is a prime. The only exception known till yet is 650 = 2 * 5^2 * 13.

  8. These Sweet Trader Joe’s Valentine’s Day Treats Are Worth the ...

    www.aol.com/sweet-trader-joe-valentine-day...

    They're also insulated, so they're perfect for keeping snacks, drinks, and groceries nice and cool. Trader Joe's. Chocolate Berry Lip Mask Duo.

  9. Square number - Wikipedia

    en.wikipedia.org/wiki/Square_number

    In mathematics, a square number or perfect square is an integer that is the square of an integer; [1] in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3 2 and can be written as 3 × 3 .