No
24
- SORT -- REVERSE --
SUBTRACT
- Let's take the year
1999:
- SORT: 9991
- REVERSE: 1999
- SUBTRACT: 7992
- And now repeat the
process with 7992:
- 9972
- 2799
- 7173
|
- 7731
- 1377
- 6354
|
- 6543
- 3456
- 3087
|
- 8730
- 0378
- 8352
|
- 8532
- 2358
- 6174
|
- 7641
- 1467
- 6147
|
Notice that a constant
number has been reached.
- This is Amazing Number
Fact 24 so let's process 24:
- 42
- 24
- 18
|
- 81
- 18
- 63
|
- 63
- 36
- 27
|
- 72
- 27
- 45
|
- 54
- 45
- 09
|
- 90
- 09
- 81
|
- 81
- 18
- 63
|
Notice that this time a
cycle has been entered:
- 63 -> 27 -> 45
-> 09 -> 81 -> repeat
- Are there other
constants? Are there other cycles? Investigate!
- And what has this to
do with Kaprekar?
If you have answers, discoveries, new questions etc to
do with this Number Fact then...
- E-mail us at madrascollege.maths@fife.gov.uk
- ...and we will publish them here.
Return to Number Fact Index
Page
- Go to Maths Home Page