Math, asked by mayankpareek87, 7 months ago

Is maths a happy number word

Answers

Answered by satvikaprime
1

Answer:

yaa maths is a very happy number word

The first few happy numbers are 1, 7, 10, 13, 19, 23, 28, 31, 32, 44, 49, 68, 70, 79, 82, 86, 91, 94, 97, 100

#funfacts#

The answer is always 6174

Starting with any four digit number (that has at least two different digits) just follow the following steps:

Arrange the digits of the four digit number in descending/ascending order to make the largest and smallest numbers possible.

Subtract the smaller number from the larger one.

Take the answer and repeat the process.

Eventually you'll end up at 6174 or 'Kaprekar's Constant'. Just as remarkable, it never takes more than seven stages to get there.

Picking a number at random, let's try 4551, for instance.

Stage 1: 5541-1455 = 4086

Stage 2: 8640 - 0468 = 8172

Stage 3: 8721 - 1278 = 7443

Stage 4: 7443 - 3447 = 3996

Stage 5: 9963 - 3699 = 6264

Stage 6: 6642 - 2466 = 4176

Stage 7: 7641 - 1467 = 6174

1, 2, 3, 4, 5, 6, 7, 8, 9 make 100

... but not with those comma placements. There are at least three different ways to use the numbers 1-9 in that order without multiplying or dividing in order to reach 100:

Route 1:

123 + 4 - 5 + 67 - 89 = 100.

Route 2:

123 - 4 - 5 - 6 - 7 + 8 - 9 = 100.

Route 3:

1 + 23 - 4 + 5 + 6 + 78 - 9 = 100.

Bet you can find Route 4...

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