2556
2556 is a even composite number that follows 2555 and precedes 2557. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278, 2556. Its prime factorization can be written as 2^2 × 3^2 × 71. 2556 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2556 is represented as 100111111100 in binary and 9FC in hexadecimal. Historically, it is written as MMDLVI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 71) reveals 5 prime building blocks.
Divisible by 2
2556 ends in 6, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 56 form a multiple of 4.
Divisible by 5
2556 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 18 is a multiple of 9.
Divisible by 10
2556 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Abundant classification and digit analytics place 2556 within several notable number theory sequences:
Timeline
Deep dive
How 2556 breaks down
2556 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 3996, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111111100 supports bitwise reasoning, hexadecimal 9FC aligns with computing notation, and the Roman numeral MMDLVI keeps the encyclopedic tradition alive. These attributes make 2556 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2556 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2551–2561) to tune search ranges, and educators feature 2556 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, Triangular numbers) help historians, numerologists, and trivia writers tie 2556 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 2556
Is 2556 a prime number?
2556 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 71.
What is the prime factorization of 2556?
It breaks down as 2^2 × 3^2 × 71, multiplying the primes 2 × 2 × 3 × 3 × 71.
How is 2556 represented in binary and hexadecimal?
2556 converts to 100111111100 in binary and 9FC in hexadecimal, which are helpful for computer science applications.
Is 2556 a perfect square, cube, or triangular number?
2556 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 2556?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.