5510
5510 is a even composite number that follows 5509 and precedes 5511. It is composed of 16 distinct factors: 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510. Its prime factorization can be written as 2 × 5 × 19 × 29. 5510 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5510 is represented as 1010110000110 in binary and 1586 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 19 × 29) reveals 4 prime building blocks.
Divisible by 2
5510 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 10 are not divisible by 4.
Divisible by 5
5510 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
5510 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 5510 within several notable number theory sequences:
Timeline
Deep dive
How 5510 breaks down
5510 carries 16 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 5290, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010110000110 supports bitwise reasoning, hexadecimal 1586 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5510 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5510 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5505–5515) to tune search ranges, and educators feature 5510 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, Deficient numbers) help historians, numerologists, and trivia writers tie 5510 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 5510
Is 5510 a prime number?
5510 is composite with 16 total factors and the prime factorization 2 × 5 × 19 × 29.
What is the prime factorization of 5510?
It breaks down as 2 × 5 × 19 × 29, multiplying the primes 2 × 5 × 19 × 29.
How is 5510 represented in binary and hexadecimal?
5510 converts to 1010110000110 in binary and 1586 in hexadecimal, which are helpful for computer science applications.
Is 5510 a perfect square, cube, or triangular number?
5510 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5510?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.