2343
2343 is a odd composite number that follows 2342 and precedes 2344. It is composed of 8 distinct factors: 1, 3, 11, 33, 71, 213, 781, 2343. Its prime factorization can be written as 3 × 11 × 71. 2343 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2343 is represented as 100100100111 in binary and 927 in hexadecimal. Historically, it is written as MMCCCXLIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 11 × 71) reveals 3 prime building blocks.
Divisible by 2
2343 ends in 3, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
2343 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 12 is not a multiple of 9.
Divisible by 10
2343 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 2343 within several notable number theory sequences:
Timeline
Deep dive
How 2343 breaks down
2343 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1113, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100100100111 supports bitwise reasoning, hexadecimal 927 aligns with computing notation, and the Roman numeral MMCCCXLIII keeps the encyclopedic tradition alive. These attributes make 2343 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2343 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2338–2348) to tune search ranges, and educators feature 2343 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 2343 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 2343
Is 2343 a prime number?
2343 is composite with 8 total factors and the prime factorization 3 × 11 × 71.
What is the prime factorization of 2343?
It breaks down as 3 × 11 × 71, multiplying the primes 3 × 11 × 71.
How is 2343 represented in binary and hexadecimal?
2343 converts to 100100100111 in binary and 927 in hexadecimal, which are helpful for computer science applications.
Is 2343 a perfect square, cube, or triangular number?
2343 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2343?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.