2189
2189 is a odd composite number that follows 2188 and precedes 2190. It is composed of 4 distinct factors: 1, 11, 199, 2189. Its prime factorization can be written as 11 × 199. 2189 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2189 is represented as 100010001101 in binary and 88D in hexadecimal. Historically, it is written as MMCLXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 199) reveals 2 prime building blocks.
Divisible by 2
2189 ends in 9, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
2189 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 20 is not a multiple of 9.
Divisible by 10
2189 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 2189 within several notable number theory sequences:
Timeline
Deep dive
How 2189 breaks down
2189 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 211, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010001101 supports bitwise reasoning, hexadecimal 88D aligns with computing notation, and the Roman numeral MMCLXXXIX keeps the encyclopedic tradition alive. These attributes make 2189 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2189 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2184–2194) to tune search ranges, and educators feature 2189 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 2189 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 2189
Is 2189 a prime number?
2189 is composite with 4 total factors and the prime factorization 11 × 199.
What is the prime factorization of 2189?
It breaks down as 11 × 199, multiplying the primes 11 × 199.
How is 2189 represented in binary and hexadecimal?
2189 converts to 100010001101 in binary and 88D in hexadecimal, which are helpful for computer science applications.
Is 2189 a perfect square, cube, or triangular number?
2189 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2189?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.