The Black Hole Number 123

You might have heard the term black hole. A black hole is a region of spacetime where gravity is so strong that even light or electromagnetic waves cannot escape it.

In Mathematics, the number 123 is called the black hole number.

Let’s understand this amazing concept in detail.

The Procedure

Step 1: Consider any number.

Step 2: Count the number of even digits.

Step 3: Count the number of odd digits.

Step 4: Count the number of total digits.

Step 5: Consider the number ("even" "odd" "total") obtained in the n iteration.

Step 6: Repeat the steps (Step 1 to Step 5) after every iteration until you get the number ("even" "odd" "total") as 123.

Note: If you repeat the steps (Step 1 to Step 5) even after getting the number 123, you will obtain the same number i.e. 123 after every iteration.

Example

First Iteration

Step 1: Number 1234567890.

Step 2: Number of even digits = 5.

Step 3: Number of odd digits = 5.

Step 4: Number of total digits = 10.

Step 5: The number ("even" "odd" "total") obtained in the first iteration is 5510.

Step 6: As the number obtained in the first iteration is not 123, therefore you need to repeat the steps (Step 1 to Step 5).

Second Iteration

Step 1: Number 5510.

Step 2: Number of even digits = 1.

Step 3: Number of odd digits = 3.

Step 4: Number of total digits = 4.

Step 5: The number ("even" "odd" "total") obtained in the second iteration is 134.

Step 6: As the number obtained in the second iteration is not 123, therefore you need to repeat the steps (Step 1 to Step 5).

Third Iteration

Step 1: Number 134.

Step 2: Number of even digits = 1.

Step 3: Number of odd digits = 2.

Step 4: Number of total digits = 3.

Step 5: The number ("even" "odd" "total") obtained in the third iteration is 123.

Step 6: As the number obtained in the third iteration is 123, therefore you do not need to repeat the steps (Step 1 to Step 5).

As I already said, if you repeat the steps (Step 1 to Step 5) even after getting the number 123, you will obtain the same number i.e. 123 after every iteration.

Let's check.....

Fourth Iteration

Step 1: Number 123.

Step 2: Number of even digits = 1.

Step 3: Number of odd digits = 2.

Step 4: Number of total digits = 3.

Step 5: The number ("even" "odd" "total") obtained in the fourth iteration is 123.

Hope you have understood this amazing concept of the black hole number 123. You can try yourself using other number. In case of any query, please feel free to provide your valuable comments.