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What is Smith number with example?

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What is Smith number with example?

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.

How do I find my Smith Number?

Steps to Find Smith Number

  1. Read or initialize a number from the user.
  2. Find the sum of its digits.
  3. Find the prime factors of the given number.
  4. Determine the sum of digits of its prime factors.
  5. Compare the sum of digits with the sum of digits of its prime factors. If they are equal, the given number is a smith.

Are prime numbers Smith numbers?

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….Smith number.

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Named after Harold Smith (brother-in-law of Albert Wilansky)
Largest known term see Properties
OEIS index A006753 Smith

What is 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.

Is 13 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 I find my Emirp number?

Steps to find Emirp Number

  1. Read or initialize a number (n).
  2. First, check the given number (n) is prime or not. If not, break the execution and exit. If prime, find the reverse (r) of the given number (n).
  3. Check the reverse number (r) is prime or not. If not, print number (n) is not emirp.

What is 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)

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Is 27 a Smith number?

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

Is 13 an emirp number?

Explanation : 13 and 31 are both prime numbers. Thus, 13 is an Emirp number.

What is vampire number in Java?

A vampire number is a natural decimal number with an even number of digits, that can be factored into two integers. These two factors are called the fangs, and must have the following properties: they each contain half the number of the decimal digits of the original number.