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VR Number


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

1233=12^2+33^2
(1)
2661653=1653^2-266^2
(2)
221859=22^3+18^3+59^3
(3)
40585=4!+0!+5!+8!+5!
(4)
148349=!1+!4+!8+!3+!4+!9
(5)
4913=(4+9+1+3)^3
(6)

are all VR numbers given by Madachy (1979), where n! is a factorial and !n is a subfactorial.


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References

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

Referenced on Wolfram|Alpha

VR Number

Cite this as:

Weisstein, Eric W. "VR Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/VRNumber.html

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