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- In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. 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.
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In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. 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.
Oct 19, 2023 · An abundant number is a number whose sum of proper divisors is greater than the number itself. Learn how to check if a number is abundant or not using different methods and languages, with examples and code.
An abundant number (also known as excessive numbers) is a positive integer such that the sum of its proper divisors is greater than the number itself. Or equivalently, a positive integer \(n\) is said to be abundant if \(\sigma_1 (n) > 2n\), where \(\sigma_1(n) \) denotes the sum of factors of \(n\).
An abundant number, sometimes also called an excessive number, is a positive integer n for which s (n)=sigma (n)-n>n, (1) where sigma (n) is the divisor function and s (n) is the restricted divisor function. The quantity sigma (n)-2n is sometimes called the abundance.
Aug 8, 2023 · In number theory, “an abundant number is a positive integer that is smaller than the sum of its proper divisors. The proper divisors of a number are all its positive divisors excluding itself”. In other words, “an abundant number n is one for which the sum of its proper divisors is greater than n ”. Examples:
Abundant number. An abundant number is a number for which the sum of its proper divisors is greater than itself. For example, 12 is abundant because the sum of its proper divisors is 1 + 2 + 3 + 4 + 6 = 16 > 12. Examples. The first 10 abundant numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54,... The first 10 odd abundant numbers are:
Oct 31, 2022 · An abundant number is a number where the sum of all its proper factors is larger than the original number. Abundant numbers are cool - you can think of them as being made up of more than what...
