Skip to main content

Know How Numbers 3, 6, 9 are Different than Others

In number system, all the numbers 1 – 9 have their own significance, but some numbers 3, 6, 9 are different than others in some way. Due to difference in their property, these numbers [3, 6, 9] are often referred to as special numbers.

Through this post, you will get to know how numbers 3, 6, 9 are different than others.

Let get started!

Number 3

Start with the table of number 3 as shown below:

3 x 1 => 3

3 x 2 => 6

3 x 3 => 9

3 x 4 => 12; 1 + 2 => 3

3 x 5 => 15; 1 + 5 => 6

3 x 6 => 18; 1 + 8 => 9

3 x 7 => 21; 2 + 1 => 3

3 x 8 => 24; 2 + 4 => 6

3 x 9 => 27; 2 + 7 => 9

3 x 10 => 30; 3 + 0 => 3

3 x 11 => 33; 3 + 3 => 6

3 x 12 => 36; 3 + 6 => 9

3 x 13 => 39; 3 + 9 => 12; 1 + 2 => 3

3 x 14 => 42; 4 + 2 => 6

3 x 15 => 45; 4 + 5 => 9

>>>>>>>>>>, n times.

As you can see, if you continue the table of number 3 n times, then it will always follow the pattern 3, 6, 9, 3, 6, 9, 3, 6, 9, 3, 6, 9, 3, 6, 9, …….

Note: No number(s) other than 3, 6, 9 will be followed in the pattern formed by the table of number 3.

For more clarification about this amazing concept, take any integer and multiply it with number 3, the resultant will be either number 3, 6, or 9.

1234 x 3 => 3702; 3 + 7 + 0 + 2 => 12; 1 + 2 => 3

5678 x 3 => 17034; 1 + 7 + 0 + 3 + 4 => 15; 1 + 5 => 6

9123 x 3 => 27369; 2 + 7 + 3 + 6 + 9 => 27; 2 + 7 => 9

Here I have taken the example of integer [1234, 5678 and 9123], but you can try yourself using the example of any other integer as well.

Number 6

Start with the table of number 6 as shown below:

6 x 1 => 6

6 x 2 => 12; 1 + 2 => 3

6 x 3 => 18; 1 + 8 => 9

6 x 4 => 24; 2 + 4 => 6

6 x 5 => 30; 3 + 0 => 3

6 x 6 => 36; 3 + 6 => 9

6 x 7 => 42; 4 + 2 => 6

6 x 8 => 48; 4 + 8 => 12; 1 + 2 => 3

6 x 9 => 54; 5 + 4 => 9

6 x 10 => 60; 6 + 0 => 6

6 x 11 => 66; 6 + 6 => 12; 1 + 2 => 3

6 x 12 => 72; 7 + 2 => 9

6 x 13 => 78; 7 + 8 => 15; 1 + 5 => 6

6 x 14 => 84; 8 + 4 => 12; 1 + 2 => 3

6 x 15 => 90; 9 + 0 => 9

>>>>>>>>>>, n times.

As you can see, if you continue the table of number 6 n times, then it will always follow the pattern 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, 6, 3, 9, …….

Note: No number(s) other than 6, 3, 9 will be followed in the pattern formed by the table of number 6.

For more clarification about this amazing concept, take any integer and multiply it with number 6, the resultant will be either number 3, 6, or 9.

1234 x 6 => 7404; 7 + 4 + 0 + 4 => 15; 1 + 5 => 6

5678 x 6 => 34068; 3 + 4 + 0 + 6 + 8 => 21; 2 + 1 => 3

9123 x 6 => 54738; 5 + 4 + 7 + 3 + 8 => 27; 2 + 7 => 9

Here I have taken the example of integer [1234, 5678 and 9123], but you can try yourself using the example of any other integer as well.

Number 9

Start with the table of number 9 as shown below:

9 x 1 => 9

9 x 2 => 18; 1 + 8 => 9

9 x 3 => 27; 2 + 7 => 9

9 x 4 => 36; 3 + 6 => 9

9 x 5 => 45; 4 + 5 => 9

9 x 6 => 54; 5 + 4 => 9

9 x 7 => 63; 6 + 3 => 9

9 x 8 => 72; 7 + 2 => 9

9 x 9 => 81; 8 + 1 => 9

9 x 10 => 90; 9 + 0 => 9

9 x 11 => 99; 9 + 9 => 18; 1 + 8 => 9

9 x 12 => 108; 1 + 0 + 8 => 9

9 x 13 => 117; 1 + 1 + 7 => 9

9 x 14 => 126; 1 + 2 + 6 => 9

9 x 15 => 135; 1 + 3 + 5 => 9

>>>>>>>>>>, n times.

As you can see, if you continue the table of number 9 n times, then it will always follow the pattern 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, …….

Note: No number(s) other than 9 will be followed in the pattern formed by the table of number 9.

For more clarification about this amazing concept, take any integer and multiply it with number 9, the resultant will be the number 9 only.

1234 x 9 => 11106; 1 + 1 + 1 + 0 + 6 => 9

5678 x 9 => 51102; 5 + 1 + 1 + 0 + 2 => 9

9123 x 9 => 82107; 8 + 2 + 1 + 0 + 7 => 18; 1 + 8 => 9

Here I have taken the example of integer [1234, 5678 and 9123], but you can try yourself using the example of any other integer as well.

After analyzing the pattern formed by the table of numbers 3, 6, and 9, you can see that the resultant digits in the pattern are none other than the numbers 3, 6, and 9. This property of the numbers 3, 6, and 9 is quite different in comparison to the remaining numbers 1, 2, 4, 5, 7, 8.

Hope you have understood this amazing concept!

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

Kaprekar Constant 6174 for Four-digit Number

Dattatreya Ramchandra Kaprekar (D. R. Kaprekar; 1905 – 1986) was an Indian mathematician who discovered several classes of natural numbers including Kaprekar Constant. The number 6174 is called Kaprekar Constant for four-digit number. Why is the number 6174 called Kaprekar Constant? In 1949, D. R. Kaprekar discovered an interesting property of the number 6174 through the mathematical calculations. D. R. Kaprekar observed that when any four-digit number of non-identical digits (not all digits are same) is arranged in two parts – highest number and lowest number, and difference is calculated using subtraction method, then the end-result will be always 6174 either in the first step or in no more than 7 steps. If the process is continued even after getting the end-result 6174, then the end-result will be always 6174 at each Iteration, therefore the number 6174 is known as Kaprekar Constant. Steps to Follow Take any four-digit number with different digits. Form the highest nu...
Post a Comment
Read more

The Number 1.6: Base of Fibonacci Sequence and the Golden Ratio

This post is about the number 1.6 that forms the base of the mathematical concepts Fibonacci sequence and the Golden ratio. For better understanding of this amazing number 1.6, it is important to know about Fibonacci sequence and the Golden ratio. Golden Ratio The  Golden ratio is the ratio of a line segment cut into two pieces of distinct lengths such that the ratio of the longer segment to the shorter segment is equal to the whole segment to that of the longer segment. It is denoted by the symbol Phi [ø]. Suppose there is a line segment AB, and C is any point that divides the line segment AB into two pieces of distinct lengths such that AC is greater than CB. Then, as per the definition, [ø] = AC/CB = AB/AC. The value of the Golden ratio [ø] is 1.6 1803398875 . As you can see, the value of the Golden ratio starts with the number 1.6. For more information on the Golden ratio, see https://theamazingconcepts.blogspot.com/2021/07/the-golden-ratio-key-to-amazing-design....
Post a Comment
Read more