8091

8091 is a natural number that follows 8090 and precedes 8092. It is an odd composite number with prime factorization 3^2 × 29 × 31. Its divisors are 1, 3, 9, 29, 31, 87, 93, 261, 279, 899, 2697, and 8091, for a total of 12 divisors.

In common representations, 8091 is written in hexadecimal as 0x1F9B and in binary as 1111110011011_2.

Digital and divisibility properties include a digit sum of 18, which makes the number divisible by 9 and by 3 (since 8091/9 = 899 and 8091/3 = 2697). It is not a Harshad number, because 8091 is not divisible by the sum of its digits (18). It is not a perfect square, with a square root just under 90 (approximately 89.95).

From a number theory perspective, 8091 is not expressible as a sum of two squares. This follows from the prime factor 31 (which is congruent to 3 modulo 4) appearing to an odd power in its factorization. The presence of 3^2 does not alter this conclusion.

Usage and context: outside pure arithmetic, 8091 may appear as an identifier in catalogs, model numbers, or other labeling schemes. It does not correspond to a widely recognized constant or well-known mathematical object.