8092
8092 is a even composite number that follows 8091 and precedes 8093. It is composed of 18 distinct factors: 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092. Its prime factorization can be written as 2^2 × 7 × 17^2. 8092 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8092 is represented as 1111110011100 in binary and 1F9C in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 7 × 17^2) reveals 5 prime building blocks.
Divisible by 2
8092 ends in 2, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
8092 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 19 is not a multiple of 9.
Divisible by 10
8092 does not end in 0.
Divisible by 11
The alternating digit sum 15 is not a multiple of 11.
Abundant classification and digit analytics place 8092 within several notable number theory sequences:
Timeline
Deep dive
How 8092 breaks down
8092 carries 18 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 9100, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110011100 supports bitwise reasoning, hexadecimal 1F9C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8092 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8092 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8087–8097) to tune search ranges, and educators feature 8092 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, Abundant numbers) help historians, numerologists, and trivia writers tie 8092 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 8092
Is 8092 a prime number?
8092 is composite with 18 total factors and the prime factorization 2^2 × 7 × 17^2.
What is the prime factorization of 8092?
It breaks down as 2^2 × 7 × 17^2, multiplying the primes 2 × 2 × 7 × 17 × 17.
How is 8092 represented in binary and hexadecimal?
8092 converts to 1111110011100 in binary and 1F9C in hexadecimal, which are helpful for computer science applications.
Is 8092 a perfect square, cube, or triangular number?
8092 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8092?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.