3349
3349 is a odd composite number that follows 3348 and precedes 3350. It is composed of 4 distinct factors: 1, 17, 197, 3349. Its prime factorization can be written as 17 × 197. 3349 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3349 is represented as 110100010101 in binary and D15 in hexadecimal. Historically, it is written as MMMCCCXLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 197) reveals 2 prime building blocks.
Divisible by 2
3349 ends in 9, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
3349 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 19 is not a multiple of 9.
Divisible by 10
3349 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 3349 within several notable number theory sequences:
Timeline
Deep dive
How 3349 breaks down
3349 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 215, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100010101 supports bitwise reasoning, hexadecimal D15 aligns with computing notation, and the Roman numeral MMMCCCXLIX keeps the encyclopedic tradition alive. These attributes make 3349 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3349 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3344–3354) to tune search ranges, and educators feature 3349 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 3349 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 3349
Is 3349 a prime number?
3349 is composite with 4 total factors and the prime factorization 17 × 197.
What is the prime factorization of 3349?
It breaks down as 17 × 197, multiplying the primes 17 × 197.
How is 3349 represented in binary and hexadecimal?
3349 converts to 110100010101 in binary and D15 in hexadecimal, which are helpful for computer science applications.
Is 3349 a perfect square, cube, or triangular number?
3349 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3349?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.