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A number is called an automorphic number if and only if the square of the given number ends with the same number itself. For example, 25, 76 are automorphic numbers because their square is 625 and 5776, respectively and the last two digits of the square represent the number itself.

## What do you mean by automorphic number?

definition and examples

An automorphic number is an integer whose square ends with the given integer, as (25)^{2} = 625, and (76)^{2} = 5776. Strobogrammatic numbers read the same after having been rotated through 180°; e.g., 69, 96, 1001.

## How do you find a number is automorphic or not in Java?

Steps to Check Automorphic Number in Java

- Input a number (num).
- Square the number (sqr).
- Count the number of digits of (num) using while loop (c).
- Compare the last (c) digits of (sqr) with the (num).
- If they are equal then the number is Automorphic else not.

## What is autotrophic number?

In mathematics, an automorphic number is a number whose square “ends” in the same digits as the number itself. For example, 5^{2} = 25, 6^{2} = 36, 76^{2} = 5776, and 890625^{2} = 793212890625, so 5, 6, 76 and 890625 are all automorphic numbers.

## What is Krishnamurthy number in Java?

Krishnamurthy number is another special number in Java. A number is said to be Krishnamurthy if the factorial sum of all its digits is equal to that number. Krishnamurthy number is also referred to as a Strong number.

## Is 10 a automorphic number?

so the 2-automorphic numbers in base 10 are 0, 8, 88, 688, 4688…

## Is 5 an automorphic number?

An automorphic number is a number whose square ends with the number itself. For example, 5 is an automorphic number, 5*5 =25. The last digit is 5 which same as the given number. It has only a positive single digit number.

## How do you write an automorphic number algorithm?

Working:-

- Step 1- Enter the number to be check.
- Step 2- store the number in temporary variable.
- Step 3- Initialize the while loop until the number is not equal to zero.
- (i) Calculate the remainder of the temp,divided with the 10 and store in digit.
- (ii) divide the number with the 10 and store in the number.

## What is neon number in Java?

A neon number is a number where the sum of digits of square of the number is equal to the number. For example if the input number is 9, its square is 9*9 = 81 and sum of the digits is 9. i.e. 9 is a neon number.

## What is a special number?

If the sum of the factorial of digits of a number (N) is equal to the number itself, the number (N) is called a special number.

## What is Trimorphic number in Java?

A number is called Trimorphic number if and only if its cube ends in the same digits as the number itself. In other words, number appears at the end of its cube.

## What is Disarium number in Java?

A Disarium number is a number defined by the following process: Sum of its digits powered with their respective position is equal to the original number. Some other DISARIUM are 89, 175, 518 etc.

## What is Peterson number?

A number is said to be Peterson if the sum of factorials of each digit is equal to the sum of the number itself.

## What is the strangest number?

The first few weird numbers are 70, 836, 4030, 5830, 7192, 7912, 9272, 10430, … (OEIS A006037). An infinite number of weird numbers are known to exist, and the sequence of weird numbers has positive Schnirelmann density. (Sloane).

## What is Emirp number in Java?

A number is called an emirp number if we get another prime number on reversing the number itself. In other words, an emirp number is a number that is prime forwards or backward. It is also known as twisted prime numbers.