Some numbers are very mysterious. They are all integers. They have more than one digit. If you multiply them with 2 their digits may shift ,but no new digit will include or no digit will disappear. Example: 12 is not such a number. Because if you multiply 2 with 12, it will become 24. And 24 includes a new digit 4 ,and fails to obtain the previous digit 1. Can you find one of them?  Choose the correct choice from the following options:
A) 138687
B) 142587
C) 144487
D) 142667
E) 142577
B   142587   142587*2= 
<gadget id="calculator">142587*2</gadget>
<output>285_174</output>
285174   These type of numbers are called cyclic numbers where a number multiplied by any digit the result will contain all the digit in the original number and no other digit.   cyclic numbers are generated by full reptend prime 7,17,19,23 etc.   where 1/7=0.142857……     1/17= 
<gadget id="calculator">  1/17</gadget>
<output>1/17 = around 0.058824</output>
0.058823529411764
<result>B</result>
Some numbers are very mysterious. They are all integers. They have more than one digit. If you multiply them with 2 their digits may shift ,but no new digit will include or no digit will disappear. Example: 12 is not such a number. Because if you multiply 2 with 12, it will become 24. And 24 includes a new digit 4 ,and fails to obtain the previous digit 1. Can you find one of them?