parillisen

Parillisen is the genitive singular form of the Finnish adjective parillinen, meaning "even." In Finnish grammar, adjectives agree with the nouns they modify, and the genitive singular form parillisen is used when the noun is in the genitive case. For example, parillisen luvun ominaisuudet means “the properties of the even number.” The base form, parillinen, has other inflections such as parillinen (nominative), parillista (partitive), and parillisia (plural).

In mathematics, parillinen describes even numbers—integers divisible by two without a remainder. The concept is part of parity, contrasted with pariton, which means odd. Common properties include: 0 and all multiples of 2 are parillisia; the sum or difference of two parilliset numbers is parillinen; the product of an parillinen number and any integer is parillinen; and the sum of an even and an even number is even. A typical way to test evenness is to check if n mod 2 equals 0.

Usage in Finnish texts often involves parillisen when discussing a property of a specific even number in the genitive case, or in phrases describing the set or characteristics of even numbers. For instance, “parillisen luvun ominaisuudet” refers to the properties of the even number, or more generally to the even numbers in a given context.

See also: pariton, parity concepts, even numbers.