On the relation between the digital sum and product of a natural number | Zendy

Laurenţiu Panaitopol | Zendy

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On the relation between the digital sum and product of a natural number

Author(s) -

Laurenţiu Panaitopol

Publication year - 2004

Publication title -

publikacija elektrotehnickog fakulteta - serija matematika

Language(s) - English

Resource type - Journals

eISSN - 2406-0852

pISSN - 0353-8893

DOI - 10.2298/petf0415065p

Subject(s) - natural number , product (mathematics) , mathematics , square (algebra) , integer (computer science) , combinatorics , relation (database) , basis (linear algebra) , arithmetic , discrete mathematics , computer science , data mining , geometry , programming language

For an integer n ≥ 1 one denotes by sb(n) the sum of its digits and by pb(n) the product of its digits with respect to the basis b. In the present paper one compares sb(n) and pb(n) in the general case, as well as in several special cases, e.g., when n has a given number of digits or when n is the square of a natural number.

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