8349
8349 is a odd composite number that follows 8348 and precedes 8350. It is composed of 12 distinct factors: 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349. Its prime factorization can be written as 3 × 11^2 × 23. 8349 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8349 is represented as 10000010011101 in binary and 209D in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 11^2 × 23) reveals 4 prime building blocks.
Divisible by 2
8349 ends in 9, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
8349 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 24 is not a multiple of 9.
Divisible by 10
8349 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 8349 within several notable number theory sequences:
Timeline
Deep dive
How 8349 breaks down
8349 carries 12 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 4419, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000010011101 supports bitwise reasoning, hexadecimal 209D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8349 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8349 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8344–8354) to tune search ranges, and educators feature 8349 in worksheets about factor trees. Its binary footprint of length 14 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 8349 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 8349
Is 8349 a prime number?
8349 is composite with 12 total factors and the prime factorization 3 × 11^2 × 23.
What is the prime factorization of 8349?
It breaks down as 3 × 11^2 × 23, multiplying the primes 3 × 11 × 11 × 23.
How is 8349 represented in binary and hexadecimal?
8349 converts to 10000010011101 in binary and 209D in hexadecimal, which are helpful for computer science applications.
Is 8349 a perfect square, cube, or triangular number?
8349 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8349?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.