4089
4089 is a odd composite number that follows 4088 and precedes 4090. It is composed of 8 distinct factors: 1, 3, 29, 47, 87, 141, 1363, 4089. Its prime factorization can be written as 3 × 29 × 47. 4089 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4089 is represented as 111111111001 in binary and FF9 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 29 × 47) reveals 3 prime building blocks.
Divisible by 2
4089 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
4089 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
4089 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 4089 within several notable number theory sequences:
Timeline
Deep dive
How 4089 breaks down
4089 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 1671, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111111001 supports bitwise reasoning, hexadecimal FF9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4089 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4089 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4084–4094) to tune search ranges, and educators feature 4089 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 4089 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 4089
Is 4089 a prime number?
4089 is composite with 8 total factors and the prime factorization 3 × 29 × 47.
What is the prime factorization of 4089?
It breaks down as 3 × 29 × 47, multiplying the primes 3 × 29 × 47.
How is 4089 represented in binary and hexadecimal?
4089 converts to 111111111001 in binary and FF9 in hexadecimal, which are helpful for computer science applications.
Is 4089 a perfect square, cube, or triangular number?
4089 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4089?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.