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List of amicable numbers from 1 to 20,000,000www.vaxasoftware.amicable numbers are two different numbers a and b so related that the sum of the proper divisors(*) of an is
equal to the sum of the
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How to fill out amicable numbers list form
How to fill out a list of amicable numbers:
01
Start by understanding what amicable numbers are. Amicable numbers are pairs of numbers in which the sum of the proper divisors of each number is equal to the other number. For example, the pair (220, 284) is an amicable pair since the sum of the proper divisors of 220 (1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 44 + 55 + 110 = 284) is equal to 284, and the sum of the proper divisors of 284 (1 + 2 + 4 + 71 + 142 = 220) is equal to 220.
02
Familiarize yourself with the proper divisor of a number. The proper divisor of a number is any positive divisor of that number, excluding the number itself. For example, the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110.
03
Determine the range of numbers you want to consider for your list of amicable numbers. You can choose any range of positive integers, depending on your requirements or interests. For example, you may choose to start from 1 and go up to 10,000 or even higher.
04
Create a loop or iterate through the numbers within your chosen range. For each number, calculate the sum of its proper divisors. Then, check if this calculated sum is equal to another number within the same range. If it is, then you have found an amicable pair.
05
Record the amicable pair in your list. For example, if you find that the numbers 220 and 284 form an amicable pair, add them to your list of amicable numbers.
06
Continue the iteration process until you have considered all the numbers within your chosen range.
Who needs a list of amicable numbers:
01
Mathematicians and number theorists: Amicable numbers are of interest to mathematicians and number theorists as they provide insights into number patterns and relationships. Studying amicable numbers can contribute to a deeper understanding of number theory and lead to new discoveries.
02
Puzzle enthusiasts: A list of amicable numbers can be useful for puzzle enthusiasts who enjoy exploring number patterns and solving mathematical puzzles. Puzzles involving amicable numbers can be challenging and entertaining.
03
Programming enthusiasts and software developers: Amicable numbers are a popular topic in computer programming. Developing algorithms and programs to generate and manipulate amicable numbers can be a fascinating programming task. A list of amicable numbers can serve as a reference or inspiration for such projects.
04
Students and educators: Learning about amicable numbers is a valuable educational opportunity for students studying mathematics. A list of amicable numbers can be used by educators to introduce and explore the concept of amicable numbers in the classroom. Students can also use the list for practice and further analysis.
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What is list of amicable numbers?
The list of amicable numbers is a list of pairs of numbers where the sum of the proper divisors of each number is equal to the other number.
Who is required to file list of amicable numbers?
Individuals or entities who want to keep track of and study amicable numbers may choose to create and file a list of them.
How to fill out list of amicable numbers?
To fill out a list of amicable numbers, one must find pairs of numbers where the sum of the proper divisors of each number is equal to the other number.
What is the purpose of list of amicable numbers?
The purpose of the list of amicable numbers is to help study and understand the properties and relationships between these special pairs of numbers.
What information must be reported on list of amicable numbers?
The list of amicable numbers should include the pairs of numbers that satisfy the amicable number property.
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