3249
3249 is a odd composite number that follows 3248 and precedes 3250. It is composed of 9 distinct factors: 1, 3, 9, 19, 57, 171, 361, 1083, 3249. Its prime factorization can be written as 3^2 × 19^2. 3249 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3249 is represented as 110010110001 in binary and CB1 in hexadecimal. Historically, it is written as MMMCCXLIX in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
9 FactorsProperties
The prime factorization (3^2 × 19^2) reveals 4 prime building blocks.
Divisible by 2
3249 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
3249 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
3249 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 3249 within several notable number theory sequences:
Timeline
Deep dive
How 3249 breaks down
3249 carries 9 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1704, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010110001 supports bitwise reasoning, hexadecimal CB1 aligns with computing notation, and the Roman numeral MMMCCXLIX keeps the encyclopedic tradition alive. These attributes make 3249 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3249 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3244–3254) to tune search ranges, and educators feature 3249 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, Perfect squares) help historians, numerologists, and trivia writers tie 3249 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 3249
Is 3249 a prime number?
3249 is composite with 9 total factors and the prime factorization 3^2 × 19^2.
What is the prime factorization of 3249?
It breaks down as 3^2 × 19^2, multiplying the primes 3 × 3 × 19 × 19.
How is 3249 represented in binary and hexadecimal?
3249 converts to 110010110001 in binary and CB1 in hexadecimal, which are helpful for computer science applications.
Is 3249 a perfect square, cube, or triangular number?
3249 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3249?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.