4992
4992 is a even composite number that follows 4991 and precedes 4993. It is composed of 32 distinct factors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992. Its prime factorization can be written as 2^7 × 3 × 13. 4992 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4992 is represented as 1001110000000 in binary and 1380 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^7 × 3 × 13) reveals 9 prime building blocks.
Divisible by 2
4992 ends in 2, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
4992 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 24 is not a multiple of 9.
Divisible by 10
4992 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 4992 within several notable number theory sequences:
Timeline
Deep dive
How 4992 breaks down
4992 carries 32 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 9288, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110000000 supports bitwise reasoning, hexadecimal 1380 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4992 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4992 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4987–4997) to tune search ranges, and educators feature 4992 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 4992 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 4992
Is 4992 a prime number?
4992 is composite with 32 total factors and the prime factorization 2^7 × 3 × 13.
What is the prime factorization of 4992?
It breaks down as 2^7 × 3 × 13, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13.
How is 4992 represented in binary and hexadecimal?
4992 converts to 1001110000000 in binary and 1380 in hexadecimal, which are helpful for computer science applications.
Is 4992 a perfect square, cube, or triangular number?
4992 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4992?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.