2384
2384 is a even composite number that follows 2383 and precedes 2385. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384. Its prime factorization can be written as 2^4 × 149. 2384 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2384 is represented as 100101010000 in binary and 950 in hexadecimal. Historically, it is written as MMCCCLXXXIV in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 149) reveals 5 prime building blocks.
Divisible by 2
2384 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 84 form a multiple of 4.
Divisible by 5
2384 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
2384 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 2384 within several notable number theory sequences:
Timeline
Deep dive
How 2384 breaks down
2384 carries 10 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 2266, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101010000 supports bitwise reasoning, hexadecimal 950 aligns with computing notation, and the Roman numeral MMCCCLXXXIV keeps the encyclopedic tradition alive. These attributes make 2384 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2384 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2379–2389) to tune search ranges, and educators feature 2384 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 2384 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 2384
Is 2384 a prime number?
2384 is composite with 10 total factors and the prime factorization 2^4 × 149.
What is the prime factorization of 2384?
It breaks down as 2^4 × 149, multiplying the primes 2 × 2 × 2 × 2 × 149.
How is 2384 represented in binary and hexadecimal?
2384 converts to 100101010000 in binary and 950 in hexadecimal, which are helpful for computer science applications.
Is 2384 a perfect square, cube, or triangular number?
2384 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2384?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.