- What is the 1000th Harshad number?
- What is Duck number?
- What is a Harshad number in Java?
- What is palindrome number?
- What is Kaprekar number in Java?
- Is 51 a Harshad number?
- What is Peterson number?
- Why is 6174 a magic number?
- What is Keith number in Java?
- How do you find the prime factorization of a number?
- What is a happy number in Java?
- Is 22 a Smith number?
- How do you find Automorphic numbers?
- What is the weirdest number?
- How do you teach prime factorization?
- Is 25 an Automorphic number?
- What is special number?
- How can I find my Harshad number?

## What is the 1000th Harshad number?

756 is a term as it gives quotient 42 on division by the digital sum (i.e.

18).

42 gives quotient 7 on division by its digital sum (i.e.

6).

As 7 is also a Harshad Number, thus 756 is a MHN-3..

## What is Duck number?

A Duck number is a positive number which has zeroes present in it, For example 3210, 8050896, 70709 are all Duck numbers. … A number like 01203 is considered as Duck because there is a non-leading 0 present in it. Examples : Input : 707069. Output : It is a duck number.

## What is a Harshad number in Java?

Java Numbers: Exercise-12 with Solution In recreational mathematics, a harshad number in a given number base, is an integer that is divisible by the sum of its digits when written in that base. Example: Number 200 is a Harshad Number because the sum of digits 2 and 0 and 0 is 2(2+0+0) and 200 is divisible by 2.

## What is palindrome number?

A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are reversed.

## What is Kaprekar number in Java?

A Kaprekar number is a number whose square when divided into two parts and such that sum of parts is equal to the original number and none of the parts has value 0. ( Source : Wiki) Given a number, the task is to check if it is Kaprekar number or not.

## Is 51 a Harshad number?

Harshad numbers in base 10 form the sequence: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, 30, 36, 40, 42, 45, 48, 50, 54, 60, 63, 70, 72, 80, 81, 84, 90, 100, 102, 108, 110, 111, 112, 114, 117, 120, 126, 132, 133, 135, 140, 144, 150, 152, 153, 156, 162, 171, 180, 190, 192, 195, 198, 200, …

## What is Peterson number?

A number is said to be a Peterson number if the sum of factorials of each digit of the number is equal to the number itself. Example: Input : n = 145 Output = Yes Explanation: 145 = 5!

## Why is 6174 a magic number?

6174 is a harshad number, since it is divisible by the sum of its digits: 6174 is a 7-smooth number, i.e. none of its prime factors are greater than 7. 6174 can be written as the sum of the first three degrees of 18: 183 + 182 + 181 = 5832 + 324 + 18 = 6174.

## What is Keith number in Java?

Posted on March 28, 2019. An n-digit number N is a Keith Number if it forms a Fibonacci-like sequence that begins with the digits of the number itself. The most significant digit is followed by the rest of the digits.

## How do you find the prime factorization of a number?

The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the number into smaller parts.

## What is a happy number in Java?

A number is called happy if it leads to 1 after a sequence of steps wherein each step number is replaced by the sum of squares of its digit that is if we start with Happy Number and keep replacing it with digits square sum, we reach 1.

## Is 22 a Smith number?

The first few Smith numbers are 4, 22, 27, 58, 85, 94, 121, 166, 202, 265, 274, 319, 346, …

## How do you find Automorphic numbers?

Steps to Check Automorphic Number in JavaTake a number as input (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 the weirdest number?

Examples. The smallest weird number is 70. Its proper divisors are 1, 2, 5, 7, 10, 14, and 35; these sum to 74, but no subset of these sums to 70. The number 12, for example, is abundant but not weird, because the proper divisors of 12 are 1, 2, 3, 4, and 6, which sum to 16; but 2 + 4 + 6 = 12.

## How do you teach prime factorization?

Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

## Is 25 an 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, …

## What is special number?

Special Numbers in Java are ones whose sum of factorials of digits is equal to the number itself. It can be an N digit number. The program has to first break the number into its corresponding digits and calculate their factorials. … If the sum matches the original number then the number is called to be a Special number.

## How can I find my Harshad number?

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.