2589
2589 is a odd composite number that follows 2588 and precedes 2590. It is composed of 4 distinct factors: 1, 3, 863, 2589. Its prime factorization can be written as 3 × 863. 2589 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2589 is represented as 101000011101 in binary and A1D in hexadecimal. Historically, it is written as MMDLXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 863) reveals 2 prime building blocks.
Divisible by 2
2589 ends in 9, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
2589 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 24 is not a multiple of 9.
Divisible by 10
2589 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 2589 within several notable number theory sequences:
Timeline
Deep dive
How 2589 breaks down
2589 carries 4 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 867, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000011101 supports bitwise reasoning, hexadecimal A1D aligns with computing notation, and the Roman numeral MMDLXXXIX keeps the encyclopedic tradition alive. These attributes make 2589 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2589 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2584–2594) to tune search ranges, and educators feature 2589 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 2589 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 2589
Is 2589 a prime number?
2589 is composite with 4 total factors and the prime factorization 3 × 863.
What is the prime factorization of 2589?
It breaks down as 3 × 863, multiplying the primes 3 × 863.
How is 2589 represented in binary and hexadecimal?
2589 converts to 101000011101 in binary and A1D in hexadecimal, which are helpful for computer science applications.
Is 2589 a perfect square, cube, or triangular number?
2589 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2589?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.