2752
2752 is a even composite number that follows 2751 and precedes 2753. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752. Its prime factorization can be written as 2^6 × 43. 2752 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2752 is represented as 101011000000 in binary and AC0 in hexadecimal. Historically, it is written as MMDCCLII in Roman numerals.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 43) reveals 7 prime building blocks.
Divisible by 2
2752 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
2752 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
2752 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 2752 within several notable number theory sequences:
Timeline
Deep dive
How 2752 breaks down
2752 carries 14 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 2836, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011000000 supports bitwise reasoning, hexadecimal AC0 aligns with computing notation, and the Roman numeral MMDCCLII keeps the encyclopedic tradition alive. These attributes make 2752 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2752 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2747–2757) to tune search ranges, and educators feature 2752 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 2752 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 2752
Is 2752 a prime number?
2752 is composite with 14 total factors and the prime factorization 2^6 × 43.
What is the prime factorization of 2752?
It breaks down as 2^6 × 43, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 43.
How is 2752 represented in binary and hexadecimal?
2752 converts to 101011000000 in binary and AC0 in hexadecimal, which are helpful for computer science applications.
Is 2752 a perfect square, cube, or triangular number?
2752 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2752?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.