Table of Contents
How do you write an Automorphic number Program?
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.
How do you find Automorphic numbers?
How to find automorphic number?
- Read a number (num) from the user.
- Find the square of the given number and store it in a variable (square).
- Find the last digit(s) of the square.
- Compare the last digit(s) of the variable with num.
- Remove the last digit of the given number i.e. num.
What is an example of 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 the Automorphic number in Python?
To check whether a number is automorphic or not:
- Input a number.
- Count the digits in the input number (n).
- Compute the square of the number.
- Extract the last ‘n’ digits from the square and check if it is same as the original number.
- If so then the given number is Automorphic, otherwise not.
Is 36 an Automorphic number?
In mathematics, an automorphic number is a number whose square “ends” in the same digits as the number itself. For example, 52 = 25, 62 = 36, 762 = 5776, and 8906252 = 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.
What do you mean by Automorphic numbers?
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base. whose square “ends” in the same digits as the number itself.
Is 1 a Automorphic number?
All automorphic numbers are trimorphic. , the trimorphic numbers are: 0, 1, 4, 5, 6, 9, 24, 25, 49, 51, 75, 76, 99, 125, 249, 251, 375, 376, 499, 501, 624, 625, 749, 751, 875, 999, 1249, 3751, 4375, 4999, 5001, 5625, 6249, 8751, 9375, 9376, 9999.
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.
What is Harshad number in Java?
A number is said to be the Harshad number if it is divisible by the sum of its digit. For example, if number is 156, then sum of its digit will be 1 + 5 + 6 = 12. Since 156 is divisible by 12. So, 156 is a Harshad number.
Is 15 an Automorphic number?
0, 1, 3, 4, 5, 7, 8, 9, B, 15, 47, 53, 54, 5B, 61, 68, 69, 75, A7, B3, BB, 115, 253, 368, 369, 4A7, 5BB, 601, 715, 853, 854, 969, AA7, BBB, 14A7, 2369, 3853, 3854, 4715, 5BBB, 6001, 74A7, 8368, 8369, 9853, A715, BBBB.
What does Automorphic mean?
1 : patterned after self an automorphic concept. 2 [International Scientific Vocabulary aut- + -morphic; originally formed as German automorph] : idiomorphic.