2349
2349 is a odd composite number that follows 2348 and precedes 2350. It is composed of 10 distinct factors: 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349. Its prime factorization can be written as 3^4 × 29. 2349 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2349 is represented as 100100101101 in binary and 92D in hexadecimal. Historically, it is written as MMCCCXLIX in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (3^4 × 29) reveals 5 prime building blocks.
Divisible by 2
2349 ends in 9, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
2349 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 18 is a multiple of 9.
Divisible by 10
2349 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2349 within several notable number theory sequences:
Timeline
Deep dive
How 2349 breaks down
2349 carries 10 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1281, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100100101101 supports bitwise reasoning, hexadecimal 92D aligns with computing notation, and the Roman numeral MMCCCXLIX keeps the encyclopedic tradition alive. These attributes make 2349 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2349 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2344–2354) to tune search ranges, and educators feature 2349 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 2349 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 2349
Is 2349 a prime number?
2349 is composite with 10 total factors and the prime factorization 3^4 × 29.
What is the prime factorization of 2349?
It breaks down as 3^4 × 29, multiplying the primes 3 × 3 × 3 × 3 × 29.
How is 2349 represented in binary and hexadecimal?
2349 converts to 100100101101 in binary and 92D in hexadecimal, which are helpful for computer science applications.
Is 2349 a perfect square, cube, or triangular number?
2349 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2349?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.