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How is Smith number calculated?

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How is Smith number calculated?

Smith Numbers. A Smith number is a composite number, the sum of whose digits equals the sum of the digits of all its prime factors. The smallest Smith number is 4 = 2×2. The sum of the digits of 4 is 4, and The sum of digits of its prime factors is 2 + 2 = 4.

What is the logic of Smith number?

In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the given number base.

How 22 is a Smith number?

The first few Smith numbers are 4, 22, 27, 58, 85, 94, 121, 166, 202, 265, 274, 319, 346, (OEIS A006753). The corresponding digits sums are 4, 4, 9, 13, 13, 13, 4, 13, 4, 13, 13, 13, 13.

How do you check given number is number or not?

Program to check if a given number is a strong number or not | FACE Prep

  1. #include
  2. ​
  3. int main()
  4. {
  5. int n,i;
  6. int fact,rem;
  7. printf(“\nEnter a number : “);
  8. scanf(“%d”,&n);

What is a Smith number in Python?

A Smith Number is a composite number whose sum of digits is equal to the sum of digits in its prime factorization. Examples: Input : n = 4 Output : Yes Prime factorization = 2, 2 and 2 + 2 = 4 Therefore, 4 is a smith number Input : n = 6 Output : No Prime factorization = 2, 3 and 2 + 3 is not 6.

What is Disarium number?

A number is said to be the Disarium number when the sum of its digit raised to the power of their respective positions is equal to the number itself. For example, 175 is a Disarium number as follows. 11 + 72 + 53 = 1 + 49 + 125 = 175. Some of the other examples of Disarium number are 89, 135, 518 etc.

What is a Smith number in Java?

Java Programming Java8Java.IO Package. A composite number whose sum of digits equal to the sum of the digits of its prime factors. Ex: 58 = 2 x 29 (5 + 8 = 12) (2+ 2 + 9 = 12)

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 strong number example?

Strong number is a special number whose sum of the factorial of digits is equal to the original number. For Example: 145 is strong number. Since, 1! + 4!

How do you find the perfect number algorithm?

Algorithm to check Perfect number:

  1. Ask the user to enter an integer number.
  2. Initialize another variable with 0 to store the sum of proper positive divisors.
  3. Go through every number from 1 to n/2 and check if it is a divisor. Maintain the sum of all divisors.

What is a Goldbach number?

A Goldbach number is a positive even integer that can be expressed as the sum of two odd primes. Note: All even integer numbers greater than 4 are Goldbach numbers. Example: 6 = 3 + 3.

How to find out if a number is a Smith number?

Given a number n, the task is to find out whether this number is smith or not. A Smith Number is a composite number whose sum of digits is equal to the sum of digits in its prime factorization.

Which is not a Smith number 6 or 7?

Therefore, 6 is not a smith number Input : n = 666 Output : Yes Prime factorization = 2, 3, 3, 37 and 2 + 3 + 3 + (3 + 7) = 6 + 6 + 6 = 18 Therefore, 666 is a smith number Input : n = 13 Output : No Prime factorization = 13 and 13 = 13, But 13 is not a smith number as it is not a composite number

What does it mean to write an algorithm?

Writing the Algorithm. A finite set of steps that must be followed to solve any problem is called an algorithm. Algorithm is generally developed before the actual coding is done. It is written using English like language so that it is easily understandable even by non-programmers.

Is there an algorithm for buying a pen?

Here is the algorithm for going to the market to purchase a pen. Step 4 in this algorithm is in itself a complete task and separate algorithm can be written for it. Let us now create an algorithm to check whether a number is positive or negative.