Download Kaprekar's Demlo Numbers PDF

TitleKaprekar's Demlo Numbers
TagsMathematics Physics & Mathematics Mathematical Objects Numbers Mathematical Concepts
File Size185.6 KB
Total Pages10
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ON KAPREKAR’S ON KAPREKAR’S DEMLDEMLO NUMBERSO NUMBERS

Shri D. R. Kaprekar, in the preface to his book “Shri D. R. Kaprekar, in the preface to his book “
Demlo Numbers “ says that he coined theDemlo Numbers “ says that he coined the
word word Demlo Number Demlo Number from the from the name name of theof the
town Dombivli, a station 30 miles distanttown Dombivli, a station 30 miles distant
from Bombay on the then G. I. P. Railway.from Bombay on the then G. I. P. Railway.
During the year 1923, as he was commutingDuring the year 1923, as he was commuting
as a daily passenger in local trains betweenas a daily passenger in local trains between
Dombivli and Bombay, he began to noteDombivli and Bombay, he began to note
down numbers like 165, 176, 2553, 1776,down numbers like 165, 176, 2553, 1776,
47773, 17776 randomly found on trains,47773, 17776 randomly found on trains,
wagons, motors, trams or ticket numbers.wagons, motors, trams or ticket numbers.
These numbers held a certain fascination forThese numbers held a certain fascination for
him. He discovered many interesting andhim. He discovered many interesting and
curious properties of these numbers andcurious properties of these numbers and
unraveled unexpected connections theyunraveled unexpected connections they
have with rep-digit numbers, recurringhave with rep-digit numbers, recurring
decimals etc. In this article, we will sketchdecimals etc. In this article, we will sketch
how Demlo numbers arise, deal with only ahow Demlo numbers arise, deal with only a
few of their curious properties, and outlinefew of their curious properties, and outline
one or two applications. More interestedone or two applications. More interested
readers can go through the variousreaders can go through the various
references of Kaprekar’s work, givenreferences of Kaprekar’s work, given
elsewhere.elsewhere.

What is a Demlo Number?What is a Demlo Number?

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