16967

16967 is a natural number that follows 16966 and precedes 16968. It is an odd composite number.

Its prime factorization is 16967 = 19^2 × 47, meaning the number has a squared prime factor (19) in addition to a distinct prime (47). The presence of a repeated prime factor shows 16967 is not square-free. The divisors of 16967 are 1, 19, 47, 361, 893, and 16967.

In other representations, 16967 can be written in hexadecimal as 0x4247 and in binary as 0100001001000111. The sum of its decimal digits is 29, giving a digital root of 2.

Applications and context: in elementary and intermediate number theory, 16967 serves as an example of a composite number with a squared prime factor multiplied by another prime. It helps illustrate divisor structure, factorization, and base representations, illustrating how a number’s arithmetic properties relate to its prime components. While it does not have widespread named significance beyond its numerical properties, it is part of the broader set of integers used to explore factorization and divisor counting.