Skip to main content

Narcissistic Number

Narcissistic number is a number that returns the original number when each digit is raised separately to the power of the number of digits.

Checking a Narcissistic Number

Step 1: Consider any number.

Step 2: (Number)power of the number of digits

If the number obtained in Step 2 is same as the number considered in Step 1, it is a Narcissistic number. But if the number obtained in Step 2 is different than the number considered in Step 1, it is not a Narcissistic number.

Examples

Example 1

Step 1: Consider number 0.

Step 2: 01 => 0.

The number obtained in Step 2 is same as the number considered in Step 1. Therefore, 0 is a Narcissistic number.

Example 2

Step 1: Consider number 1.

Step 2: 11 => 1.

The number obtained in Step 2 is same as the number considered in Step 1. Therefore, 1 is a Narcissistic number.

Example 3

Step 1: Consider number 2.

Step 2: 21 => 2.

The number obtained in Step 2 is same as the number considered in Step 1. Therefore, 2 is a Narcissistic number.

Example 4

Step 1: Consider number 3.

Step 2: 31 => 3.

The number obtained in Step 2 is same as the number considered in Step 1. Therefore, 3 is a Narcissistic number.

Example 5

Step 1: Consider number 4.

Step 2: 41 => 4.

The number obtained in Step 2 is same as the number considered in Step 1. Therefore, 4 is a Narcissistic number.

Example 6

Step 1: Consider number 5.

Step 2: 51 => 5.

The number obtained in Step 2 is same as the number considered in Step 1. Therefore, 5 is a Narcissistic number.

Example 7

Step 1: Consider number 6.

Step 2: 61 => 6.

The number obtained in Step 2 is same as the number considered in Step 1. Therefore, 6 is a Narcissistic number.

Example 8

Step 1: Consider number 7.

Step 2: 71 => 7.

The number obtained in Step 2 is same as the number considered in Step 1. Therefore, 7 is a Narcissistic number.

Example 9

Step 1: Consider number 8.

Step 2: 81 => 8.

The number obtained in Step 2 is same as the number considered in Step 1. Therefore, 8 is a Narcissistic number.

Example 10

Step 1: Consider number 9.

Step 2: 91 => 9.

The number obtained in Step 2 is same as the number considered in Step 1. Therefore, 9 is a Narcissistic number.

Example 11

Step 1: Consider number 10.

Step 2: 12 + 02 => 1 x 1 + 0 x 0 => 1 + 0 => 1.

The number obtained in Step 2 is different than the number considered in Step 1. Therefore, 10 is not a Narcissistic number.

Hope you have understood this amazing concept of the Narcissistic number. To check whether a number is a Narcissistic number or not, use the above examples. In case of any query, please feel free to provide your valuable comments.

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

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