Last Updated :2025/11/30

untouchable number

Noun
Japanese Meaning
数学において、任意の正の整数の固有約数(その数自身を除くすべての正の約数)の和として表現されない正の整数を指す。
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ある整数が、どの正の整数の真の約数の和(その数自身を含む)としても表せない正の整数であることを証明するには、しばしばどの正の整数についてもその真の約数の和が当該整数と等しくならないことを確認する必要がある。

plural

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(mathematics) A positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer (including the untouchable number itself).

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untouchable number

Proving that a given integer is an untouchable number often requires checking that no positive integer has its proper divisors summing to that integer.

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Proving that a given integer is an untouchable number often requires checking that no positive integer has its proper divisors summing to that integer.

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