VR Number

A ``visual representation'' number which is a sum of some simple function of its digits. For example,

$\begin{displaymath} 1233=12^2+33^2 \end{displaymath}$

$\begin{displaymath} 2661653=1653^2-266^2 \end{displaymath}$

$\begin{displaymath} 221859=22^3+18^3+59^3 \end{displaymath}$

$\begin{displaymath} 40585=4!+0!+5!+8!+5! \end{displaymath}$

$\begin{displaymath} 148349=!1+!4+!8+!3+!4+!9 \end{displaymath}$

$\begin{displaymath} 4913=(4+9+1+3)^3 \end{displaymath}$

are all VR numbers given by Madachy (1979).

References

Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, pp. 165-171, 1979.