2496
2496 is a even composite number that follows 2495 and precedes 2497. It is composed of 28 distinct factors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496. Its prime factorization can be written as 2^6 × 3 × 13. 2496 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2496 is represented as 100111000000 in binary and 9C0 in hexadecimal. Historically, it is written as MMCDXCVI in Roman numerals.
Factor Analysis
28 FactorsProperties
The prime factorization (2^6 × 3 × 13) reveals 8 prime building blocks.
Divisible by 2
2496 ends in 6, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
2496 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 21 is not a multiple of 9.
Divisible by 10
2496 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 2496 within several notable number theory sequences:
Timeline
Deep dive
How 2496 breaks down
2496 carries 28 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 4616, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111000000 supports bitwise reasoning, hexadecimal 9C0 aligns with computing notation, and the Roman numeral MMCDXCVI keeps the encyclopedic tradition alive. These attributes make 2496 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2496 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2491–2501) to tune search ranges, and educators feature 2496 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 2496 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 2496
Is 2496 a prime number?
2496 is composite with 28 total factors and the prime factorization 2^6 × 3 × 13.
What is the prime factorization of 2496?
It breaks down as 2^6 × 3 × 13, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13.
How is 2496 represented in binary and hexadecimal?
2496 converts to 100111000000 in binary and 9C0 in hexadecimal, which are helpful for computer science applications.
Is 2496 a perfect square, cube, or triangular number?
2496 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2496?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.