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单词 Practical number
释义

Practical number

中文百科

实际数

实际数practical number)是指一正整数n有许多因数,所有小于n的正整数都可以用数个n的相异真因数和表示。例如12的真因数有1, 2, 3, 4及6,而1至11的数字中有几个不是12的真因数,但都可以表示为数个相异真因数的和:5=3+2, 7=6+1, 8=6+2, 9=6+3, 10=6+3+1及11=6+3+2。

以下是实际数的列表OEIS中的数列A005153:1, 2, 4, 6, 8, 12, 16, 18, 20, 24, 28, 30, 32, 36, 40, 42, 48, 54, ....

英语百科

Practical number 实际数

Demonstration, with Cuisenaire rods, of the practicality of the number 12

In number theory, a practical number or panarithmic number is a positive integer n such that all smaller positive integers can be represented as sums of distinct divisors of n. For example, 12 is a practical number because all the numbers from 1 to 11 can be expressed as sums of its divisors 1, 2, 3, 4, and 6: as well as these divisors themselves, we have 5 = 3 + 2, 7 = 6 + 1, 8 = 6 + 2, 9 = 6 + 3, 10 = 6 + 3 + 1, and 11 = 6 + 3 + 2.

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更新时间:2025/6/20 2:03:07