3189
3189 is a odd composite number that follows 3188 and precedes 3190. It is composed of 4 distinct factors: 1, 3, 1063, 3189. Its prime factorization can be written as 3 × 1063. 3189 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3189 is represented as 110001110101 in binary and C75 in hexadecimal. Historically, it is written as MMMCLXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 1063) reveals 2 prime building blocks.
Divisible by 2
3189 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
3189 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
3189 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 3189 within several notable number theory sequences:
Timeline
Deep dive
How 3189 breaks down
3189 carries 4 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1067, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001110101 supports bitwise reasoning, hexadecimal C75 aligns with computing notation, and the Roman numeral MMMCLXXXIX keeps the encyclopedic tradition alive. These attributes make 3189 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3189 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3184–3194) to tune search ranges, and educators feature 3189 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 3189 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 3189
Is 3189 a prime number?
3189 is composite with 4 total factors and the prime factorization 3 × 1063.
What is the prime factorization of 3189?
It breaks down as 3 × 1063, multiplying the primes 3 × 1063.
How is 3189 represented in binary and hexadecimal?
3189 converts to 110001110101 in binary and C75 in hexadecimal, which are helpful for computer science applications.
Is 3189 a perfect square, cube, or triangular number?
3189 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3189?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.