Skip to main content

Amazing Facts Related To The Number Theory

This post is about some amazing facts that are related to the number theory.

Below is the list of these amazing facts:

Fact No. 1:

All four-digit palindrome numbers are divisible by 11.

Example:

Palindrome numbers are those numbers which remains the same while reading from left to right and right to left.

1001 is divisible by 11, and the resultant is 91.

2552 is divisible by 11, and the resultant is 232.

4664 is divisible by 11, and the resultant is 424.

7227 is divisible by 11, and the resultant is 657.

9889 is divisible by 11, and the resultant is 899.

Fact No. 2:

Repeat a three-digit number twice to form a six-digit number. The formed six-digit number is divisible by 7, 11 and 13. Again dividing the formed six-digit number by the multiplication resultant of 7 x 11 x 13, gives back the original three-digit number.

Example:

The original number: 123.

Repeat the number twice to form a six-digit number: 123123.

The formed six-digit number 123123 is divisible by 7, 11 and 13, and the resultant is 17589, 11193 and 9471, respectively.

Divide the formed six-digit number 123123 by multiplication resultant of 7 x 11 x 13 => 1001 i.e. 123123 divided by 1001.

The end-result is the original three-digit number: 123.

Fact No. 3:

Addition of even integers is always an even integer.

Example:

14 + 14 => 28.

50 + 50 => 100.

150 + 150 => 300.

400 + 400 => 800.

1000 + 2558 => 3558.

Fact No. 4:

The constant 495 for three-digit number.

For detailed information, go to https://theamazingconcepts.blogspot.com/2021/08/kaprekar-constant-495-for-three-digit_88.html.

Fact No. 5:

The constant 6174 for four-digit number.

For detailed information, go to https://theamazingconcepts.blogspot.com/2021/08/kaprekar-constant.html.

Hope you liked these amazing facts related to the number theory. For more amazing concepts, visit the site https://theamazingconcepts.blogspot.com.

Labels

Labels:

Comments

Post a Comment

Popular posts from this blog

The 3n + 1 Problem or Collatz Problem

The 3n + 1 Problem, also known as the 3n + 1 Conjecture or Collatz Problem or Collatz Conjecture, is that if any positive integer  n  is iteratively operated using two simple rules:  Addition  and  Division , then the end-result always leads to the number 1. The Rules Rule 1 [Addition]:  If the number n is odd, then triple it and add 1. Rule 2 [Division]:  If the number n is even, then divide it by 2. Steps to Follow Step 1:  Take any positive integer n. Step 2:  Check whether the integer is odd or even. Step 3:  If the integer is odd, then triple it and add 1. Step 4:  If the integer is even, then divide it by 2. Step 5:  Repeat this procedure. Step 6:  The end-result always leads to the number 1. For Example Integer n = 5 5 is an odd number, so triple it and add 1. The value of n = 16. 16 is an even number, so divide it by 2. The value of n = 8. 8 is an even number, so divide it by 2. The va...
2 comments
Read more

Universe Secret Code 369 Theory

When it comes to the origin of the universe secret code 369 theory, one name associated with this amazing concept is ‘Nikola Tesla’. Nikola Tesla [10 July 1856 – 07 January 1943] was not only a great inventor / scientist, but also the greatest mind of all the time. He has done a plenty of research throughout his life, and highly recognized for his contributions towards the following : High Voltage, High Frequency Power Experiments Alternating Current (AC) Electricity Supply System Apart from the above-mentioned contributions, he has given ‘Universe Secret Code 369 Theory’ and has called the number 369 – the key to the universe. Now the question that will come to the curious minds is that why Nikola Tesla has called this number the key to the universe. The answer to this question is described in this post. Let start with a specific pattern as shown below: 1 1 + 1 => 2 2 + 2 => 4 4 + 4 => 8 8 + 8 => 16; 1 + 6 => 7 16 + 16 => 32; 3 + 2 => 5 >>>>>>...
Post a Comment
Read more

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...
1 comment
Read more