2536
2536 is a even composite number that follows 2535 and precedes 2537. It is composed of 8 distinct factors: 1, 2, 4, 8, 317, 634, 1268, 2536. Its prime factorization can be written as 2^3 × 317. 2536 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2536 is represented as 100111101000 in binary and 9E8 in hexadecimal. Historically, it is written as MMDXXXVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 317) reveals 4 prime building blocks.
Divisible by 2
2536 ends in 6, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
2536 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 16 is not a multiple of 9.
Divisible by 10
2536 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2536 within several notable number theory sequences:
Timeline
Deep dive
How 2536 breaks down
2536 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2234, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111101000 supports bitwise reasoning, hexadecimal 9E8 aligns with computing notation, and the Roman numeral MMDXXXVI keeps the encyclopedic tradition alive. These attributes make 2536 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2536 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2531–2541) to tune search ranges, and educators feature 2536 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 2536 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 2536
Is 2536 a prime number?
2536 is composite with 8 total factors and the prime factorization 2^3 × 317.
What is the prime factorization of 2536?
It breaks down as 2^3 × 317, multiplying the primes 2 × 2 × 2 × 317.
How is 2536 represented in binary and hexadecimal?
2536 converts to 100111101000 in binary and 9E8 in hexadecimal, which are helpful for computer science applications.
Is 2536 a perfect square, cube, or triangular number?
2536 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2536?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.