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hyperperfect number - Übersetzung nach russisch
математика
гиперсовершенное число
![Russian chemist [[Dmitri Mendeleev]], creator of the periodic table.](https://commons.wikimedia.org/wiki/Special:FilePath/DIMendeleevCab.jpg?width=200 "Russian chemist [[Dmitri Mendeleev]], creator of the periodic table.")
![[[Henry Moseley]] in his lab.](https://commons.wikimedia.org/wiki/Special:FilePath/Henry Moseley.jpg?width=200 "[[Henry Moseley]] in his lab.")
![[[Niels Bohr]], creator of the [[Bohr model]].](https://commons.wikimedia.org/wiki/Special:FilePath/Niels Bohr.jpg?width=200 "[[Niels Bohr]], creator of the [[Bohr model]].")
![A [[business card]] from [[Richard Nixon]]'s first Congressional campaign in 1946; his telephone number can be seen as "Whittier 42635"](https://commons.wikimedia.org/wiki/Special:FilePath/Nixoncard.jpg?width=200 "A [[business card]] from [[Richard Nixon]]'s first Congressional campaign in 1946; his telephone number can be seen as \"Whittier 42635\"")
![Telephone numbers for sale in [[Hong Kong]].](https://commons.wikimedia.org/wiki/Special:FilePath/Phone numbers for sale in Hong Kong.JPG?width=200 "Telephone numbers for sale in [[Hong Kong]].")
![2008 photo shows a hairdressing shop in [[Toronto]] with an exterior sign showing the shop's telephone number in the old two-letters plus five-digits format.](https://commons.wikimedia.org/wiki/Special:FilePath/Star Hair Stylists 1399 Queen W Toronto.jpg?width=200 "2008 photo shows a hairdressing shop in [[Toronto]] with an exterior sign showing the shop's telephone number in the old two-letters plus five-digits format.")
![Modern [[telephone keypad]] contains "*" and "#"](https://commons.wikimedia.org/wiki/Special:FilePath/Telephone-annees-60-p1010020.jpg?width=200 "Modern [[telephone keypad]] contains \"*\" and \"#\"")
Wikipedia
In mathematics, a k-hyperperfect number is a natural number n for which the equality n = 1 + k(σ(n) − n − 1) holds, where σ(n) is the divisor function (i.e., the sum of all positive divisors of n). A hyperperfect number is a k-hyperperfect number for some integer k. Hyperperfect numbers generalize perfect numbers, which are 1-hyperperfect.
The first few numbers in the sequence of k-hyperperfect numbers are 6, 21, 28, 301, 325, 496, 697, ... (sequence A034897 in the OEIS), with the corresponding values of k being 1, 2, 1, 6, 3, 1, 12, ... (sequence A034898 in the OEIS). The first few k-hyperperfect numbers that are not perfect are 21, 301, 325, 697, 1333, ... (sequence A007592 in the OEIS).
