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Abundant, deficient and perfect number classifications: Difference between revisions
Abundant, deficient and perfect number classifications (view source)
Revision as of 02:09, 28 August 2023
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Perfect 4
Abundant 4953
</pre>
=={{header|Maxima}}==
<syntaxhighlight lang="maxima">
/* Given a number it returns wether it is perfect, deficient or abundant */
number_class(n):=if divsum(n)-n=n then "perfect" else if divsum(n)-n<n then "deficient" else if divsum(n)-n>n then "abundant"$
/* Function that displays the number of each kind below n */
classification_count(n):=block(makelist(number_class(i),i,1,n),
[[length(sublist(%%,lambda([x],x="deficient")))," deficient"],[length(sublist(%%,lambda([x],x="perfect")))," perfect"],[length(sublist(%%,lambda([x],x="abundant")))," abundant"]])$
/* Test case */
classification_count(20000);
</syntaxhighlight>
{{out}}
<pre>
[[15043," deficient"],[4," perfect"],[4953," abundant"]]
</pre>
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