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节俭数

节俭数frugal number)是指一正整数质因数分解(包括指数)的总位数小于整数本身的位数[1]。 以十进制的125为例,质因数分解为53,只有二位数,小于其本身位数的三位数,因此125为节俭数。其他进制下也有节俭数,例如32为二进制下的节俭数,因为10101 = 100000。 第一个不是素数的幂的节俭数是1029=3x73

前几个节俭数为:

125, 128, 243, 256, 343, 512, 625, 729, 1024, 1029, 1215, 1250, 1280, 1331, 1369, 1458, 1536, 1681, 1701, 1715, 1792, 1849, 1875(OEIS数列A046759

相关条目

参考资料

  1. ^ Darling, David J. The universal book of mathematics: from Abracadabra to Zeno's paradoxes. John Wiley & Sons. 2004: 102 [2012-12-24]. ISBN 978-0-471-27047-8. (原始内容存档于2013-12-31). 
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节俭数
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