# trimorphic number

Given a base $b$ integer

 $n=\sum_{i=1}^{k}d_{i}b^{i-1}$

where $d_{1}$ is the least significant digit and $d_{k}$ is the most significant, if it’s also the case that the $k$ least significant digits of $n^{3}$ are the same of those of $n$, then $n$ is called a .

All automorphic numbers (with $m=1$) are also trimorphic numbers, but not all trimorphic numbers are 1-automorphic.

Title trimorphic number TrimorphicNumber 2013-03-22 16:21:32 2013-03-22 16:21:32 CompositeFan (12809) CompositeFan (12809) 5 CompositeFan (12809) Definition msc 11A63