8492
8492 is a even composite number that follows 8491 and precedes 8493. It is composed of 12 distinct factors: 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492. Its prime factorization can be written as 2^2 × 11 × 193. 8492 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8492 is represented as 10000100101100 in binary and 212C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 11 × 193) reveals 4 prime building blocks.
Divisible by 2
8492 ends in 2, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
8492 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 23 is not a multiple of 9.
Divisible by 10
8492 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 8492 within several notable number theory sequences:
Timeline
Deep dive
How 8492 breaks down
8492 carries 12 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 7804, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000100101100 supports bitwise reasoning, hexadecimal 212C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8492 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8492 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8487–8497) to tune search ranges, and educators feature 8492 in worksheets about factor trees. Its binary footprint of length 14 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 8492 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 8492
Is 8492 a prime number?
8492 is composite with 12 total factors and the prime factorization 2^2 × 11 × 193.
What is the prime factorization of 8492?
It breaks down as 2^2 × 11 × 193, multiplying the primes 2 × 2 × 11 × 193.
How is 8492 represented in binary and hexadecimal?
8492 converts to 10000100101100 in binary and 212C in hexadecimal, which are helpful for computer science applications.
Is 8492 a perfect square, cube, or triangular number?
8492 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8492?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.