2394
2394 is a even composite number that follows 2393 and precedes 2395. It is composed of 24 distinct factors: 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394. Its prime factorization can be written as 2 × 3^2 × 7 × 19. 2394 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2394 is represented as 100101011010 in binary and 95A in hexadecimal. Historically, it is written as MMCCCXCIV in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3^2 × 7 × 19) reveals 5 prime building blocks.
Divisible by 2
2394 ends in 4, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
2394 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 18 is a multiple of 9.
Divisible by 10
2394 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 2394 within several notable number theory sequences:
Timeline
Deep dive
How 2394 breaks down
2394 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 3846, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101011010 supports bitwise reasoning, hexadecimal 95A aligns with computing notation, and the Roman numeral MMCCCXCIV keeps the encyclopedic tradition alive. These attributes make 2394 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2394 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2389–2399) to tune search ranges, and educators feature 2394 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 2394 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 2394
Is 2394 a prime number?
2394 is composite with 24 total factors and the prime factorization 2 × 3^2 × 7 × 19.
What is the prime factorization of 2394?
It breaks down as 2 × 3^2 × 7 × 19, multiplying the primes 2 × 3 × 3 × 7 × 19.
How is 2394 represented in binary and hexadecimal?
2394 converts to 100101011010 in binary and 95A in hexadecimal, which are helpful for computer science applications.
Is 2394 a perfect square, cube, or triangular number?
2394 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2394?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.