Kaprekar Number
المؤلف:
Iannucci, D. E.
المصدر:
"The Kaprekar Numbers." J. Integer Sequences 3, No. 00.1.2, 2000. https://www.math.uwaterloo.ca/JIS/VOL3/VOL3/iann2a.
الجزء والصفحة:
...
14-11-2020
1098
Kaprekar Number
Consider an 
-digit number 
. Square it and add the right 
digits to the left 
or 
digits. If the resultant sum is 
, then 
is called a Kaprekar number. For example, 9 is a Kaprekar number since
and 297 is a Kaprekar number since
The first few are 1, 9, 45, 55, 99, 297, 703, ... (OEIS A006886).
REFERENCES:
Iannucci, D. E. "The Kaprekar Numbers." J. Integer Sequences 3, No. 00.1.2, 2000. https://www.math.uwaterloo.ca/JIS/VOL3/VOL3/iann2a.
Kaprekar, D. "On Kaprekar Numbers." J. Rec. Math. 13, 81-82, 1980-1981.
Sloane, N. J. A. Sequence A006886/M4625 in "The On-Line Encyclopedia of Integer Sequences."
Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, p. 73, 1986.
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