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  1. 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.

  2. Quasivollkommene Zahlen (englisch quasiperfect numbers) ergeben sich als naheliegende Modifikation der vollkommenen Zahlen. Dazu nimmt man statt der ganzen Teilermenge einer natürlichen Zahl n {\displaystyle n} nur die nichttrivialen Teiler, also alle Teiler außer 1 {\displaystyle 1} und n {\displaystyle n} selbst, und fordert ...

  3. 22. Feb. 2024 · Learn what perfect numbers are, how to find them, and their connection to Mersenne primes. See the list of all 51 perfect numbers and their divisors, and the history of their study.

    • 12 Min.
  4. 10. Juni 2024 · 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. The discovery of such numbers is lost in prehistory.

    • The Editors of Encyclopaedia Britannica
  5. Learn what a perfect number is, how to find them, and why they are interesting. Explore the Euclid-Euler theorem, the largest known perfect number, and some open questions about perfect numbers.

  6. 1. Juli 2024 · Perfect numbers are positive integers such that. (1) where is the restricted divisor function (i.e., the sum of proper divisors of ), or equivalently. (2) where is the divisor function (i.e., the sum of divisors of including itself). For example, the first few perfect numbers are 6, 28, 496, 8128, ...

  7. Learn what perfect numbers are, how to find them, and their history and properties. Perfect numbers are positive integers that are equal to the sum of their factors, excluding themselves.