hajalukuisia

Hajalukuisia is a term used in Finnish mathematics to describe a number that is "divisible by many." While there isn't a single, strict definition, it generally refers to a number with a large number of divisors relative to its magnitude.

Numbers with a high number of divisors are often highly composite numbers. These are positive integers that have more divisors than any smaller positive integer. For example, 12 has divisors 1, 2, 3, 4, 6, and 12 (six divisors). The number 11, being prime, only has divisors 1 and 11 (two divisors). Thus, 12 is considered to be "hajalukuisia" in comparison to 11.

The concept is more qualitative than quantitative, and what constitutes "many" can be context-dependent. In number theory, mathematicians study these numbers due to their interesting properties and their relationship with prime factorization. The number of divisors a number has is directly related to the exponents in its prime factorization. For a number whose prime factorization is $p_1^{a_1} p_2^{a_2} \dots p_n^{a_n}$, the total number of divisors is $(a_1+1)(a_2+1)\dots(a_n+1)$. Thus, numbers with many divisors tend to have many distinct prime factors or high exponents on their prime factors.

While the term "hajalukuisia" itself is not a standard international mathematical term, the underlying concept of numbers with abundant divisors is a well-established area of study in number theory.