2568
2568 is a even composite number that follows 2567 and precedes 2569. It is composed of 16 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568. Its prime factorization can be written as 2^3 × 3 × 107. 2568 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2568 is represented as 101000001000 in binary and A08 in hexadecimal. Historically, it is written as MMDLXVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 3 × 107) reveals 5 prime building blocks.
Divisible by 2
2568 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 68 form a multiple of 4.
Divisible by 5
2568 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
2568 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 2568 within several notable number theory sequences:
Timeline
Deep dive
How 2568 breaks down
2568 carries 16 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 3912, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000001000 supports bitwise reasoning, hexadecimal A08 aligns with computing notation, and the Roman numeral MMDLXVIII keeps the encyclopedic tradition alive. These attributes make 2568 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2568 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2563–2573) to tune search ranges, and educators feature 2568 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2568 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 2568
Is 2568 a prime number?
2568 is composite with 16 total factors and the prime factorization 2^3 × 3 × 107.
What is the prime factorization of 2568?
It breaks down as 2^3 × 3 × 107, multiplying the primes 2 × 2 × 2 × 3 × 107.
How is 2568 represented in binary and hexadecimal?
2568 converts to 101000001000 in binary and A08 in hexadecimal, which are helpful for computer science applications.
Is 2568 a perfect square, cube, or triangular number?
2568 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2568?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.