"hyperperfect number" meaning in English

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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."
        },
        {
          "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).",
          "type": "quotation"
        },
        {
          "ref": "1999, James J. Tattersall, Elementary Number Theory in Nine Chapters, page 144",
          "text": "In 1974, Daniel Minoli and Robert Bear described a number of properties of hyperperfect numbers.",
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      "glosses": [
        "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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      "raw_glosses": [
        "(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."
      ],
      "related": [
        {
          "word": "perfect number"
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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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