Sha256: d4ddb233574ffb19fcdcf3c8b0485955b9e8f0d92d54f21ffb72384c29d7bb5c
Contents?: true
Size: 1.94 KB
Versions: 109
Compression:
Stored size: 1.94 KB
Contents
# Perfect Numbers Determine if a number is perfect, abundant, or deficient based on Nicomachus' (60 - 120 CE) classification scheme for natural numbers. The Greek mathematician [Nicomachus](https://en.wikipedia.org/wiki/Nicomachus) devised a classification scheme for natural numbers, identifying each as belonging uniquely to the categories of **perfect**, **abundant**, or **deficient** based on their [aliquot sum](https://en.wikipedia.org/wiki/Aliquot_sum). The aliquot sum is defined as the sum of the factors of a number not including the number itself. For example, the aliquot sum of 15 is (1 + 3 + 5) = 9 - **Perfect**: aliquot sum = number - 6 is a perfect number because (1 + 2 + 3) = 6 - 28 is a perfect number because (1 + 2 + 4 + 7 + 14) = 28 - **Abundant**: aliquot sum > number - 12 is an abundant number because (1 + 2 + 3 + 4 + 6) = 16 - 24 is an abundant number because (1 + 2 + 3 + 4 + 6 + 8 + 12) = 36 - **Deficient**: aliquot sum < number - 8 is a deficient number because (1 + 2 + 4) = 7 - Prime numbers are deficient Implement a way to determine whether a given number is **perfect**. Depending on your language track, you may also need to implement a way to determine whether a given number is **abundant** or **deficient**. The Scala exercises assume an SBT project scheme. The exercise solution source should be placed within the exercise directory/src/main/scala. The exercise unit tests can be found within the exercise directory/src/test/scala. To run the tests simply run the command `sbt test` in the exercise directory. For more detailed info about the Scala track see the [help page](http://exercism.io/languages/scala). ## Source Taken from Chapter 2 of Functional Thinking by Neal Ford. [http://shop.oreilly.com/product/0636920029687.do](http://shop.oreilly.com/product/0636920029687.do) ## Submitting Incomplete Solutions It's possible to submit an incomplete solution so you can see how others have completed the exercise.
Version data entries
109 entries across 109 versions & 1 rubygems