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Manuals/calci/PERFECTNUMBERS (view source)
Revision as of 07:51, 11 February 2020
, 07:51, 11 February 2020→Description
*Perfect number is a positive integer which is equal to the sum of its proper divisors.
*Perfect number is a positive integer which is equal to the sum of its proper divisors.
*The smallest perfect number is 6, which is the sum of 1, 2, and 3.
*The smallest perfect number is 6, which is the sum of 1, 2, and 3.
==ABUNDANTNUMBERS==
*Abundant number is a number for which the sum of its proper divisors is greater than the number itself.
*It is also called Excessive Number.
*The first Abundant number is 12.
* 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.
*ABUNDANTNUMBERS(110) = 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
==DEFICIENTNUMBERS==
*Deficient number is a number <math>n</math> for which the sum of divisors <math>sigma(n)<2n</math>, or, equivalently, the sum of proper divisors (or aliquot sum) <math>s(n)<n</math>. The value <math>2n − sigma(n)</math> (or <math>n − s(n)</math>) is called the number's deficiency.
==Examples==
==Examples==