: Mathematics: practical number

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practical number

In number theory, a practical number or panarithmic number is a positive integer n n such that all smaller positive integers can be represented as sums of distinct divisors of n n. For example, 12 is a practical number because all the numbers from 1 to 11 can be expressed as sums of its divisors 1, 2, 3, 4, and 6: as well as these divisors themselves, we have 5 = 3 + 2, 7 = 6 + 1, 8 = 6 + 2, 9 = 6 + 3, 10 = 6 + 3 + 1, and 11 = 6 + 3 + 2.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Practical_number)

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