See hyperperfect number on Wiktionary
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"text": "1966, American Mathematical Society Translations, page 258,\n[…] the asymptotic density of all hyperperfect numbers, that is, numbers m for which m | σ(m), is equal to zero."
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"ref": "1974, William Judson LeVeque, editor, Reviews in number theory, as printed in Mathematical reviews, 1940 through 1972, volumes 1-44 inclusive, volume 1, page 107:",
"text": "The rank of a hyperperfect number N is the ratio of divisor sum to N (which equals 2 for perfect numbers).",
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"Any natural number n for which, for some positive integer k, n = 1 + k(σ(n) - n - 1), where σ(n) is the sum of the positive divisors of n."
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"(mathematics, number theory) Any natural number n for which, for some positive integer k, n = 1 + k(σ(n) - n - 1), where σ(n) is the sum of the positive divisors of n."
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Download raw JSONL data for hyperperfect number meaning in All languages combined (2.2kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-02-26 from the enwiktionary dump dated 2025-02-21 using wiktextract (ce0be54 and f2e72e5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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