992
992 is a even composite number that follows 991 and precedes 993. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. Its prime factorization can be written as 2^5 × 31. 992 is classified as a abundant number based on the sum of its proper divisors. In computer science, 992 is represented as 1111100000 in binary and 3E0 in hexadecimal. Historically, it is written as CMXCII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 31) reveals 6 prime building blocks.
Divisible by 2
992 ends in 2, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
992 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 20 is not a multiple of 9.
Divisible by 10
992 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 992 within several notable number theory sequences:
Timeline
Deep dive
How 992 breaks down
992 carries 12 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 1024, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111100000 supports bitwise reasoning, hexadecimal 3E0 aligns with computing notation, and the Roman numeral CMXCII keeps the encyclopedic tradition alive. These attributes make 992 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 992 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (987–997) to tune search ranges, and educators feature 992 in worksheets about factor trees. Its binary footprint of length 10 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 992 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 992
Is 992 a prime number?
992 is composite with 12 total factors and the prime factorization 2^5 × 31.
What is the prime factorization of 992?
It breaks down as 2^5 × 31, multiplying the primes 2 × 2 × 2 × 2 × 2 × 31.
How is 992 represented in binary and hexadecimal?
992 converts to 1111100000 in binary and 3E0 in hexadecimal, which are helpful for computer science applications.
Is 992 a perfect square, cube, or triangular number?
992 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 992?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.