正規數 (整數)
外觀
![本頁使用了標題或全文手工轉換](http://upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Zh_conversion_icon_m.svg/35px-Zh_conversion_icon_m.svg.png)
![](http://upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Regular_divisibility_lattice.svg/360px-Regular_divisibility_lattice.svg.png)
正規數(Regular numbers)是指可以整除60的乘冪的整數,也就是60乘冪的因數,例如602 = 3600 = 48 × 75,48和75都可以整除60的平方,也都是正規數。
在許多數學及應用的領域會用到60乘冪的因數,在不同的領域中其名稱也有所不同。
- 在數論中,60乘冪的因數也稱為5-光滑數,因為其質因數只有2,3或是5,這是k-光滑數中的一個特例,k-光滑數是指其質因數都小於等於k的整數。
- 在巴比倫數學中,60乘冪的因數稱為正規數或是60正規數,因為巴比倫數學是使用六十進制,因此這類數字格外的重要。
- 在計算機科學,60乘冪的因數稱為漢明數(Hamming numbers),得名自數學家理查德·衛斯里·漢明,他提出一個用電腦依序找出60乘冪的因數的演算法。
注釋
[編輯]- ^ Inspired by similar diagrams by Erkki Kurenniemi in "Chords, scales, and divisor lattices" (頁面存檔備份,存於網際網路檔案館).
參考資料
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