21766

21766 is a natural number that follows 21765 and precedes 21767. It is an even and composite integer, with a prime factorization of 2 × 10883, where 10883 is a prime number. Therefore, the divisors of 21766 are 1, 2, 10883, and 21766.

In terms of digit properties, the sum of its digits is 22, giving a digital root of 4. It is not divisible by 3 or 5, and it is not a multiple of 9, 11, or any small primes beyond 2. The number is congruent to 6 modulo 8, reflecting its even but non-multiple-of-4 status.

21766 can be represented in several numeral bases: in binary it is 101010100000110; in hexadecimal it is 0x54A2; and in octal it is 052406. These representations reflect its even parity and its particular digit patterns in different bases.

As a standalone natural number, 21766 does not have widely noted mathematical or historical significance beyond its basic arithmetic properties. It appears in general lists of integers and can be encountered in problems involving divisibility, factorization, and base conversions. For broader context, it relates to topics in number theory such as parity, prime factorization, and base representations.

See also: natural numbers, prime factorization, base conversion, parity.