5516
5516 is a even composite number that follows 5515 and precedes 5517. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516. Its prime factorization can be written as 2^2 × 7 × 197. 5516 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5516 is represented as 1010110001100 in binary and 158C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 197) reveals 4 prime building blocks.
Divisible by 2
5516 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
5516 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 17 is not a multiple of 9.
Divisible by 10
5516 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 5516 within several notable number theory sequences:
Timeline
Deep dive
How 5516 breaks down
5516 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 5572, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010110001100 supports bitwise reasoning, hexadecimal 158C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5516 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5516 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5511–5521) to tune search ranges, and educators feature 5516 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 5516 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 5516
Is 5516 a prime number?
5516 is composite with 12 total factors and the prime factorization 2^2 × 7 × 197.
What is the prime factorization of 5516?
It breaks down as 2^2 × 7 × 197, multiplying the primes 2 × 2 × 7 × 197.
How is 5516 represented in binary and hexadecimal?
5516 converts to 1010110001100 in binary and 158C in hexadecimal, which are helpful for computer science applications.
Is 5516 a perfect square, cube, or triangular number?
5516 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5516?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.