2924
2924 is a even composite number that follows 2923 and precedes 2925. It is composed of 12 distinct factors: 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924. Its prime factorization can be written as 2^2 × 17 × 43. 2924 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2924 is represented as 101101101100 in binary and B6C in hexadecimal. Historically, it is written as MMCMXXIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 17 × 43) reveals 4 prime building blocks.
Divisible by 2
2924 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
2924 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
2924 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 2924 within several notable number theory sequences:
Timeline
Deep dive
How 2924 breaks down
2924 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 2620, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101101100 supports bitwise reasoning, hexadecimal B6C aligns with computing notation, and the Roman numeral MMCMXXIV keeps the encyclopedic tradition alive. These attributes make 2924 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2924 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2919–2929) to tune search ranges, and educators feature 2924 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, Deficient numbers) help historians, numerologists, and trivia writers tie 2924 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 2924
Is 2924 a prime number?
2924 is composite with 12 total factors and the prime factorization 2^2 × 17 × 43.
What is the prime factorization of 2924?
It breaks down as 2^2 × 17 × 43, multiplying the primes 2 × 2 × 17 × 43.
How is 2924 represented in binary and hexadecimal?
2924 converts to 101101101100 in binary and B6C in hexadecimal, which are helpful for computer science applications.
Is 2924 a perfect square, cube, or triangular number?
2924 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2924?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.