2552
2552 is a even composite number that follows 2551 and precedes 2553. It is composed of 16 distinct factors: 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552. Its prime factorization can be written as 2^3 × 11 × 29. 2552 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2552 is represented as 100111111000 in binary and 9F8 in hexadecimal. Historically, it is written as MMDLII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 11 × 29) reveals 5 prime building blocks.
Divisible by 2
2552 ends in 2, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
2552 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 14 is not a multiple of 9.
Divisible by 10
2552 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 2552 within several notable number theory sequences:
Timeline
Deep dive
How 2552 breaks down
2552 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 2848, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111111000 supports bitwise reasoning, hexadecimal 9F8 aligns with computing notation, and the Roman numeral MMDLII keeps the encyclopedic tradition alive. These attributes make 2552 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2552 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2547–2557) to tune search ranges, and educators feature 2552 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 2552 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 2552
Is 2552 a prime number?
2552 is composite with 16 total factors and the prime factorization 2^3 × 11 × 29.
What is the prime factorization of 2552?
It breaks down as 2^3 × 11 × 29, multiplying the primes 2 × 2 × 2 × 11 × 29.
How is 2552 represented in binary and hexadecimal?
2552 converts to 100111111000 in binary and 9F8 in hexadecimal, which are helpful for computer science applications.
Is 2552 a perfect square, cube, or triangular number?
2552 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2552?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.