4292
4292 is a even composite number that follows 4291 and precedes 4293. It is composed of 12 distinct factors: 1, 2, 4, 29, 37, 58, 74, 116, 148, 1073, 2146, 4292. Its prime factorization can be written as 2^2 × 29 × 37. 4292 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4292 is represented as 1000011000100 in binary and 10C4 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 29 × 37) reveals 4 prime building blocks.
Divisible by 2
4292 ends in 2, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
4292 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 17 is not a multiple of 9.
Divisible by 10
4292 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 4292 within several notable number theory sequences:
Timeline
Deep dive
How 4292 breaks down
4292 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 3688, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000011000100 supports bitwise reasoning, hexadecimal 10C4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4292 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4292 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4287–4297) to tune search ranges, and educators feature 4292 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 4292 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 4292
Is 4292 a prime number?
4292 is composite with 12 total factors and the prime factorization 2^2 × 29 × 37.
What is the prime factorization of 4292?
It breaks down as 2^2 × 29 × 37, multiplying the primes 2 × 2 × 29 × 37.
How is 4292 represented in binary and hexadecimal?
4292 converts to 1000011000100 in binary and 10C4 in hexadecimal, which are helpful for computer science applications.
Is 4292 a perfect square, cube, or triangular number?
4292 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4292?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.