Last Updated：2025/11/23

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(number theory) One of a pair of numbers having the property that the sum of the divisors of each, excluding itself, is equal to the other number.

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amicable number

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Source Word

amicable number

Noun

Japanese Meaning

互いに真の約数（自分自身を除く）の和が相手の数となる、2つの数の組。

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The mathematician illustrated the concept of an amicable number by showing that 220 and 284 form a classic pair.

Google Translation / DeepL Translation

その数学者は、220と284が典型的な対を成すことを示して、友愛数の概念を説明した。

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Sense（1）

The factors of 220, excluding 220 itself, are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110 and sum to 284; the factors of 284, excluding 284 itself, are 1, 2, 4, 71, and 142, and sum to 220; hence 220 and 284 are amicable numbers.

Google Translation / DeepL Translation

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amicable numbers

（ plural ）

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amicable number

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