# What is an example of an abundant number?

## What is an example of 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, (sequence A005101 in the OEIS). For example, the proper divisors of 24 are 1, 2, 3, 4, 6, 8, and 12, whose sum is 36.

What is 800 as an integer?

It is a Harshad number….800 (number)

← 799 800 801 →
List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal eight hundred
Ordinal 800th (eight hundredth)
Factorization 25 × 52

### What do you mean by abundant number?

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

Is 945 an abundant number?

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 10 a abundant number?

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

How do you write 800?

800 in words is written as Eight Hundred.

## What number is after 890?

890 (eight hundred ninety) is an even three-digits composite number following 889 and preceding 891. In scientific notation, it is written as 8.9 × 102. The sum of its digits is 17.

Are there infinitely many abundant numbers?

There are infinitely many abundant numbers. Every positive multiple of an abundant number is an abundant number. Every multiple of a perfect number greater than itself is an abundant number.

### Is 30 abundant or deficient?

30 is an abundant number. The next possible sum is 12 + 20 = 32. 32 is not an abundant number. Its proper divisors are 1, 2, 4, 8 and 16 and their sum is 31, which is less than 32.

Is 945 abundant perfect or deficient?

#### Is there an infinite number of abundant numbers?

There are an infinite number of abundant numbers. The first 10 abundant numbers are 12, 18, 20, 24, 30, 36, 40, 42, 48, and 54. There are only a total of 21 abundant numbers under 100 and all of these numbers are even. The first odd abundant number is 945!

Which is the most abundant number under 100?

The first 10 abundant numbers are 12, 18, 20, 24, 30, 36, 40, 42, 48, and 54. There are only a total of 21 abundant numbers under 100 and all of these numbers are even. The first odd abundant number is 945! Abundant numbers are numbers that are made up of more than they’re worth.

## How can you tell if a number is abundant?

In order to determine if a number is abundant, you must first find all of the number’s proper factors. While factors are numbers that you multiply together to get another number, proper factors are all the factors of the number except the number itself.

Which is an abundant number 24 or 24?

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

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