What is deficient number in Java?

What is deficient number in Java?

The deficient number can be defined as the number for which the sum of the proper divisors is lesser than the number itself. As an example, consider the number 21. Its proper divisors are 1, 3 and 7, and their sum is 11. Because 11 is less than 21, the number 21 is deficient.

What is perfect number in Java?

What is a perfect number in Java? A number whose sum of factors (excluding the number itself) is equal to the number is called a perfect number. In other words, if the sum of positive divisors (excluding the number itself) of a number equals the number itself is called a perfect number.

What are perfect abundant and deficient numbers?

Abundant: The sum of the proper factors is greater than the number itself. Deficient: The sum of the proper factors is less than the number itself. Perfect: The sum of the proper factors is equal to than the number itself.

What are deficient numbers examples?

Deficient numbers occur more frequently than abundant numbers. In other words, the sum of the proper divisors of most numbers is less than the numbers themselves. Examples of deficient numbers include 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, and 23.

How do you find a deficient number?

A number n is said to be Deficient Number if sum of all the divisors of the number denoted by divisorsSum(n) is less than twice the value of the number n. And the difference between these two values is called the deficiency. The first few Deficient Numbers are: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19 …..

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 many perfect numbers are there between 1 and 100?

2 perfect numbers
There are around 51 known perfect numbers. There are only 2 perfect numbers from 1 to 100 which are 6 and 28.

Is 48 abundant deficient or perfect?

So …. 48 is called an abundant number because it is less than the sum of its factors (without itself). (48 is less than 76.)

What are the perfect numbers from 1 to 100?

There are only 2 perfect numbers from 1 to 100 which are 6 and 28. The latest perfect number was discovered in 2018 which has 49,724,095 digits.

Why is 11 a deficient number?

Its proper divisors are 1, 3 and 7, and their sum is 11. Because 11 is less than 21, the number 21 is deficient. Its deficiency is 2 × 21 − 32 = 10.

How to classify abundant deficient and perfect numbers in Java?

Write a Java program to classify Abundant, deficient and perfect number (integers) between 1 to 10,000. In number theory, an abundant number is a number for which the sum of its proper divisors is greater than the number itself.

How to check if a number is deficient in Java?

Learn to write a simple java program to verify if a given number is deficient number or not. The value 2n − σ (n) is called the number’s deficiency. The deficient number can be defined as the number for which the sum of the proper divisors is lesser than the number itself.

Which is an even perfect number in Java?

An even perfect number is a perfect number that is even, i.e., an even number n whose sum of divisors (including n itself) equals n. All known perfect numbers are even. Ochem and Rao (2012) have demonstrated that any odd perfect number must be larger than 10^1500. 1) The number which is equal to the sum of its divisors is called a perfect number.

Which is an example of a deficient number?

Deficient number: In number theory, a deficient number is a number n for which the sum of divisors σ (n)<2n, or, equivalently, the sum of proper divisors (or aliquot sum) s (n)