# How do you find the abundant number?

## How do you find the abundant number?

Abundant numbers are numbers that are made up of more than they’re worth. You can find an abundant number by adding up the proper factors of a number to see if they add up to more than the number itself. The abundance of a number is the difference between the sum of the proper factors and the number.

## What is abundant number?

: an imperfect number that is less than the sum of all its divisors (as 12)

What are the first 10 abundant numbers?

The first 10 abundant numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54,…

What is the abundance of 945?

945 is the smallest odd-abundant number. 945 = 33*5*7, so the sum of all divisors of 945 (including itself) is (1+3+32+33)*(1+5)*(1+7) = 40*6*8 = 1,920, while 945*2=1,890<1,920. Therefore, 945 is an abundant number.

### Is 28 an abundant number?

Examples. The first 28 abundant numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 108, 112, 114, 120.

### What is the angel number for abundance?

888
888. This is the angel number of abundance, and you might see it on a check you receive for services performed to let you know that there is the possibility of good financial abundance with this particular client, company, or simply the type of work you are currently doing.

Is 25 an abundant number?

Is 14 an abundant number?

The first 14 abundant numbers are:12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 72. 945 is the first odd abundant number.

## Is 9 an abundant number?

Relations with other sets of numbers = σ(362880) = 1481040, but there is a smaller number with larger sum of divisors, σ(360360) = 1572480, so 9! is not highly abundant.

## Is 12 abundant deficient or perfect?

Because the sum of its proper divisors (1 + 2 + 3 + 4 + 6 = 16) is greater than 12, 12 is an abundant number.

Is 36 an abundant number?

Is 96 an abundant number?

The first 28 abundant numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 108, 112, 114, 120, (sequence A005101 in the OEIS).

### Which is an example of an abundant number?

For example,12 is an abundant Number : divisors 1,2,3,4,6, sum =16 >12. The difference between the sum of divisors and the number is called abundance. For above example abundance = 4 => 16 – 12. To check for abundant number we will find all the factors of the number and add them up.

### Which is the first abundant number under 100?

Twelve is the first abundant number. The next abundant number is 18 because the proper divisors sum to 21 (1 + 2 + 3 + 6 + 9). The first five abundant numbers are 12, 18, 20, 24, and 30. As it turns out, the twenty-one abundant numbers under 100 are all even. Not all abundant numbers, however, are even; the first odd abundant number is 945.

Which is more abundant the number 24 or 36?

For example, the proper divisors of 24 are 1, 2, 3, 4, 6, 8, and 12, whose sum is 36. Because 36 is more than 24, the number 24 is abundant.

When do you call a number abundant or deficient?

As an extension of the idea of perfect numbers, the concept of “abundant” and “deficient” numbers emerged. If the sum of the proper divisors of a number is greater than the number itself, then the number is called abundant or excessive.

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