Question

6174: An Interesting Number

The number 6174 is really a mysterious one. At first glance, it might not seem so obvious.

But as we are about to see, anyone who can subtract can uncover the mystery that makes

6174 so special. To begin with, choose a four digit number, where the digits are not all the

same (that is not 1111, 2222,...). Then rearrange the digits to get the largest and smallest

numbers these digits can form. Then subtract the smallest number from the largest to get a

new number, and carry on repeating the operation for each new number. Eventually, you

will obtain the number 6174. Thereafter you will keep on obtaining same number. It is a

simple operation. Let's try it out, starting with the number 2016, the digits of this year. The

maximum number we can make with these digits is 6210, and the minimum is 0126 or 126 .

The subtraction steps would be:

6210 - 0126 = 6084

8640 - 0468 = 8172

8721 - 1278 = 7443

7443 - 3447 = 3996

9963 - 3699 = 6264

6642 - 2466 = 4176

7641 - 1467 = 6174

Once you reach 6174 the operation repeats itself, returning 6174 every time. Thus the

number 6174 is a kernel of this operation.

Now it‟s your turn take five numbers and reach the magical number 6174. (show the steps

of subtraction)

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Answer 1

Answer:

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