5512
5512 is a even composite number that follows 5511 and precedes 5513. It is composed of 16 distinct factors: 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512. Its prime factorization can be written as 2^3 × 13 × 53. 5512 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5512 is represented as 1010110001000 in binary and 1588 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 13 × 53) reveals 5 prime building blocks.
Divisible by 2
5512 ends in 2, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 12 form a multiple of 4.
Divisible by 5
5512 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 13 is not a multiple of 9.
Divisible by 10
5512 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 5512 within several notable number theory sequences:
Timeline
Deep dive
How 5512 breaks down
5512 carries 16 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 5828, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010110001000 supports bitwise reasoning, hexadecimal 1588 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5512 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5512 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5507–5517) to tune search ranges, and educators feature 5512 in worksheets about factor trees. Its binary footprint of length 13 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 5512 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 5512
Is 5512 a prime number?
5512 is composite with 16 total factors and the prime factorization 2^3 × 13 × 53.
What is the prime factorization of 5512?
It breaks down as 2^3 × 13 × 53, multiplying the primes 2 × 2 × 2 × 13 × 53.
How is 5512 represented in binary and hexadecimal?
5512 converts to 1010110001000 in binary and 1588 in hexadecimal, which are helpful for computer science applications.
Is 5512 a perfect square, cube, or triangular number?
5512 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5512?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.