A crazy number.

Take any four digit number with digits that aren't all the same (2354, 2009, 7162) and order the digits from biggest to smallest and then from smallest to biggest.

Subtract the smaller number from the bigger one. Take that number and repeat.

Once 6174 shows up, you can't go any further.

Take any four digit number with digits that aren't all the same (2354, 2009, 7162) and order the digits from biggest to smallest and then from smallest to biggest.

Subtract the smaller number from the bigger one. Take that number and repeat.

Once 6174 shows up, you can't go any further.

We'll use 2009 for this.

So we have 9002 and 0029 (or 29)

9002-29=8973 (so 9873 and 3789)

9873-3789=6084(8640 and 3789)

8640-468=8172

8721-1278=7443

7443-3447=3996

9963-3699=6264

6642-2466=4176

7461-1467=6174

7461-1467=6174

7461-1467=6174

it will keep repeating itself.

So we have 9002 and 0029 (or 29)

9002-29=8973 (so 9873 and 3789)

9873-3789=6084(8640 and 3789)

8640-468=8172

8721-1278=7443

7443-3447=3996

9963-3699=6264

6642-2466=4176

7461-1467=6174

7461-1467=6174

7461-1467=6174

it will keep repeating itself.

by 6174 April 05, 2009

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