3289
3289 is a odd composite number that follows 3288 and precedes 3290. It is composed of 8 distinct factors: 1, 11, 13, 23, 143, 253, 299, 3289. Its prime factorization can be written as 11 × 13 × 23. 3289 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3289 is represented as 110011011001 in binary and CD9 in hexadecimal. Historically, it is written as MMMCCLXXXIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (11 × 13 × 23) reveals 3 prime building blocks.
Divisible by 2
3289 ends in 9, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
3289 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 22 is not a multiple of 9.
Divisible by 10
3289 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3289 within several notable number theory sequences:
Timeline
Deep dive
How 3289 breaks down
3289 carries 8 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 743, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110011011001 supports bitwise reasoning, hexadecimal CD9 aligns with computing notation, and the Roman numeral MMMCCLXXXIX keeps the encyclopedic tradition alive. These attributes make 3289 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3289 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3284–3294) to tune search ranges, and educators feature 3289 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 3289 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 3289
Is 3289 a prime number?
3289 is composite with 8 total factors and the prime factorization 11 × 13 × 23.
What is the prime factorization of 3289?
It breaks down as 11 × 13 × 23, multiplying the primes 11 × 13 × 23.
How is 3289 represented in binary and hexadecimal?
3289 converts to 110011011001 in binary and CD9 in hexadecimal, which are helpful for computer science applications.
Is 3289 a perfect square, cube, or triangular number?
3289 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3289?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.