4092
4092 is a even composite number that follows 4091 and precedes 4093. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092. Its prime factorization can be written as 2^2 × 3 × 11 × 31. 4092 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4092 is represented as 111111111100 in binary and FFC in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 11 × 31) reveals 5 prime building blocks.
Divisible by 2
4092 ends in 2, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
4092 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
4092 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 4092 within several notable number theory sequences:
Timeline
Deep dive
How 4092 breaks down
4092 carries 24 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 6660, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111111100 supports bitwise reasoning, hexadecimal FFC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4092 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4092 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4087–4097) to tune search ranges, and educators feature 4092 in worksheets about factor trees. Its binary footprint of length 12 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 4092 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 4092
Is 4092 a prime number?
4092 is composite with 24 total factors and the prime factorization 2^2 × 3 × 11 × 31.
What is the prime factorization of 4092?
It breaks down as 2^2 × 3 × 11 × 31, multiplying the primes 2 × 2 × 3 × 11 × 31.
How is 4092 represented in binary and hexadecimal?
4092 converts to 111111111100 in binary and FFC in hexadecimal, which are helpful for computer science applications.
Is 4092 a perfect square, cube, or triangular number?
4092 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4092?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.