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单词 Amicable numbers
释义

Amicable numbers

中文百科

相亲数

Demonstration, with rods, of the amicability of the pair of numbers (220,284)

相亲数(Amicable Pair),又称亲和数友爱数友好数,指两个正整数中,彼此的全部约数之和(本身除外)与另一方相等。毕达哥拉斯曾说:“朋友是你灵魂的倩影,要像220与284一样亲密。”

例如220与284:

换句话说,亲和数又可以说成是两个正整数中,一方的全部约数之和与另一方的全部约数之和相等。

英语百科

Amicable numbers 相亲数

Demonstration, with rods, of the amicability of the pair of numbers (220,284)

Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. (A proper divisor of a number is a positive factor of that number other than the number itself. For example, the proper divisors of 6 are 1, 2, and 3.) A pair of amicable numbers constitutes an aliquot sequence of period 2. A related concept is that of a perfect number, which is a number that equals the sum of its own proper divisors, in other words a number which forms an aliquot sequence of period 1. Numbers that are members of an aliquot sequence with period greater than 2 are known as sociable numbers.

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更新时间:2025/6/24 4:56:15