2289
2289 is a odd composite number that follows 2288 and precedes 2290. It is composed of 8 distinct factors: 1, 3, 7, 21, 109, 327, 763, 2289. Its prime factorization can be written as 3 × 7 × 109. 2289 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2289 is represented as 100011110001 in binary and 8F1 in hexadecimal. Historically, it is written as MMCCLXXXIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 7 × 109) reveals 3 prime building blocks.
Divisible by 2
2289 ends in 9, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
2289 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 21 is not a multiple of 9.
Divisible by 10
2289 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 2289 within several notable number theory sequences:
Timeline
Deep dive
How 2289 breaks down
2289 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1231, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100011110001 supports bitwise reasoning, hexadecimal 8F1 aligns with computing notation, and the Roman numeral MMCCLXXXIX keeps the encyclopedic tradition alive. These attributes make 2289 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2289 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2284–2294) to tune search ranges, and educators feature 2289 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 2289 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 2289
Is 2289 a prime number?
2289 is composite with 8 total factors and the prime factorization 3 × 7 × 109.
What is the prime factorization of 2289?
It breaks down as 3 × 7 × 109, multiplying the primes 3 × 7 × 109.
How is 2289 represented in binary and hexadecimal?
2289 converts to 100011110001 in binary and 8F1 in hexadecimal, which are helpful for computer science applications.
Is 2289 a perfect square, cube, or triangular number?
2289 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2289?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.