8091
8091 is a odd composite number that follows 8090 and precedes 8092. It is composed of 12 distinct factors: 1, 3, 9, 29, 31, 87, 93, 261, 279, 899, 2697, 8091. Its prime factorization can be written as 3^2 × 29 × 31. 8091 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8091 is represented as 1111110011011 in binary and 1F9B in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 29 × 31) reveals 4 prime building blocks.
Divisible by 2
8091 ends in 1, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
8091 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
8091 does not end in 0.
Divisible by 11
The alternating digit sum 16 is not a multiple of 11.
Deficient classification and digit analytics place 8091 within several notable number theory sequences:
Timeline
Deep dive
How 8091 breaks down
8091 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 4389, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110011011 supports bitwise reasoning, hexadecimal 1F9B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8091 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8091 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8086–8096) to tune search ranges, and educators feature 8091 in worksheets about factor trees. Its binary footprint of length 13 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 8091 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 8091
Is 8091 a prime number?
8091 is composite with 12 total factors and the prime factorization 3^2 × 29 × 31.
What is the prime factorization of 8091?
It breaks down as 3^2 × 29 × 31, multiplying the primes 3 × 3 × 29 × 31.
How is 8091 represented in binary and hexadecimal?
8091 converts to 1111110011011 in binary and 1F9B in hexadecimal, which are helpful for computer science applications.
Is 8091 a perfect square, cube, or triangular number?
8091 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8091?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.