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What 5-digit number has the following property? If we put numeral 1 in front of the number, we get a number three times smaller, than if we put the numeral 1 behind this number.
Lets Assume number is a then
10a+1 = 3(100000+a)
or 7a = 299999
a = 42857
So number is 42857
42857 As going digit by digit we could achieve the number
i) It is a square number
ii) It is an ordered number
iii) Each digit of the number is a square number
A number is an ordered number when its digits are in an increasing sequence. For example, 136 is an ordered number but 163 is not.
The square of 13 is 169.
Take the last digit of the square, 9, and place it in the middle, making 196.
This is the square of 14, the next number above 13.
What are the next numbers which also have this property?
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