2594
2594 is a even composite number that follows 2593 and precedes 2595. It is composed of 4 distinct factors: 1, 2, 1297, 2594. Its prime factorization can be written as 2 × 1297. 2594 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2594 is represented as 101000100010 in binary and A22 in hexadecimal. Historically, it is written as MMDXCIV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 1297) reveals 2 prime building blocks.
Divisible by 2
2594 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
2594 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
2594 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 2594 within several notable number theory sequences:
Timeline
Deep dive
How 2594 breaks down
2594 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 1300, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000100010 supports bitwise reasoning, hexadecimal A22 aligns with computing notation, and the Roman numeral MMDXCIV keeps the encyclopedic tradition alive. These attributes make 2594 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2594 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2589–2599) to tune search ranges, and educators feature 2594 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 2594 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 2594
Is 2594 a prime number?
2594 is composite with 4 total factors and the prime factorization 2 × 1297.
What is the prime factorization of 2594?
It breaks down as 2 × 1297, multiplying the primes 2 × 1297.
How is 2594 represented in binary and hexadecimal?
2594 converts to 101000100010 in binary and A22 in hexadecimal, which are helpful for computer science applications.
Is 2594 a perfect square, cube, or triangular number?
2594 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2594?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.