2492
2492 is a even composite number that follows 2491 and precedes 2493. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492. Its prime factorization can be written as 2^2 × 7 × 89. 2492 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2492 is represented as 100110111100 in binary and 9BC in hexadecimal. Historically, it is written as MMCDXCII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 89) reveals 4 prime building blocks.
Divisible by 2
2492 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
2492 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
2492 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 2492 within several notable number theory sequences:
Timeline
Deep dive
How 2492 breaks down
2492 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 2548, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110111100 supports bitwise reasoning, hexadecimal 9BC aligns with computing notation, and the Roman numeral MMCDXCII keeps the encyclopedic tradition alive. These attributes make 2492 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2492 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2487–2497) to tune search ranges, and educators feature 2492 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 2492 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 2492
Is 2492 a prime number?
2492 is composite with 12 total factors and the prime factorization 2^2 × 7 × 89.
What is the prime factorization of 2492?
It breaks down as 2^2 × 7 × 89, multiplying the primes 2 × 2 × 7 × 89.
How is 2492 represented in binary and hexadecimal?
2492 converts to 100110111100 in binary and 9BC in hexadecimal, which are helpful for computer science applications.
Is 2492 a perfect square, cube, or triangular number?
2492 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2492?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.