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单词 ArmstrongNumber
释义

Armstrong number


Given a base b integer

n=i=1kdibi-1

where d1 is the least significant digit and dk is the most significant, if it’s also the case that for some power m the equality

n=i=1kdim

also holds, then n is an Armstrong number or narcissistic number or plus perfect number or perfect digital invariant.

In any given base b there is a finite amount of Armstrong numbers, since the inequality k(b-1)m>bk-1 is false after a certain threshold.

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更新时间:2025/5/4 14:35:57