What makes a number abundant?
In number theory, an abundant number or excessive number is a number that is smaller than the sum of its proper divisors. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. The amount by which the sum exceeds the number is the abundance. The number 12 has an abundance of 4, for example.
What are abundant numbers in maths?
An abundant number is sometimes called an excessive number. It’s an integer that is less than the sum of its factors (not including the number itself). Other numbers are greater than or sometimes equal to the sum of their factors. For example, 12 is the first abundant number.
What are the first 5 abundant numbers?
The first few Abundant Numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66 …..
Which is the first 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!
How to find the abundance of a 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.
How are numbers used in your daily life?
1. Calling a member of a family or a friend using mobile phone. 2. Calculating your daily budget for your food, transportation, and other expenses. 3. Cooking, or anything that involves the idea of proportion and percentage. 4. Weighing fruits, vegetables, meat, chicken, and others in market. 5.
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!