The Number 2997: The Mystical Number

The number 2997 is considered the mystical number because repetition of multiplication and addition leads to the number 2997 in no more than four iterations.

Steps to Follow

Step 1: Take any three-digit number.

Step 2: Multiply each digit by 111.

Step 3: Add the values obtained after multiplying each digit by 111. The end-result is the number 2997 [First Iteration].

Step 4: If the end-result is other than the number 2997, then again follow the process from Steps 1 – 3. But in this case, the number to consider will be the result obtained in Step 3.

Step 5: Multiply each digit by 111.

Step 6: Add the values obtained after multiplying each digit by 111. The end-result is the number 2997 [Second Iteration].

Step 7: If the end-result is other than the number 2997, then again follow the process from Steps 1 – 3. But in this case, the number to consider will be the result obtained in Step 6.

Step 8: Multiply each digit by 111.

Step 9: Add the values obtained after multiplying each digit by 111. The end-result is the number 2997 [Third Iteration].

Step 10: If the end-result is other than the number 2997, then again follow the process from Steps 1 – 3. But in this case, the number to consider will be the result obtained in Step 9.

Step 11: Multiply each digit by 111.

Step 12: Add the values obtained after multiplying each digit by 111. The end-result is the number 2997 [Fourth Iteration].

For Example

Number 123

Multiply each digit by 111: [1x111] + [2x111] + [3x111].

Adding all the values: 111 + 222 + 333 => 666 [First Iteration].

Here, the end-result is other than the number 2997, so repeat this procedure with the number 666.

Multiply each digit by 111: [6x111] + [6x111] + [6x111].

Adding all the values: 666 + 666 + 666 => 1998 [Second Iteration].

Here, the end-result is other than the number 2997, so repeat this procedure with the number 1998.

Multiply each digit by 111: [1x111] + [9x111] + [9x111] + [8x111].

Adding all the values: 111 + 999 + 999 + 888 => 2997 [Third Iteration].

Now, the end-result is the number 2997, hence this procedure ends here.

Note: If this procedure is continued even after getting the end-result 2997, then every iteration will lead to the number 2997 only.

Proof: Multiply each digit by 111: [2x111] + [9x111] + [9x111] + [7x111].

Adding all the values: 222 + 999 + 999 + 777 => 2997.

As you can see, repeating this procedure will lead to the number 2997 only.

Hope you have understood this amazing concept of the number 2997. You can try yourself using any other three-digit number. In case of any issue, kindly provide your valuable comments.