5513
5513 is a odd composite number that follows 5512 and precedes 5514. It is composed of 4 distinct factors: 1, 37, 149, 5513. Its prime factorization can be written as 37 × 149. 5513 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5513 is represented as 1010110001001 in binary and 1589 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (37 × 149) reveals 2 prime building blocks.
Divisible by 2
5513 ends in 3, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
5513 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
5513 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 5513 within several notable number theory sequences:
Timeline
Deep dive
How 5513 breaks down
5513 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 187, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010110001001 supports bitwise reasoning, hexadecimal 1589 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5513 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5513 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5508–5518) to tune search ranges, and educators feature 5513 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 5513 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 5513
Is 5513 a prime number?
5513 is composite with 4 total factors and the prime factorization 37 × 149.
What is the prime factorization of 5513?
It breaks down as 37 × 149, multiplying the primes 37 × 149.
How is 5513 represented in binary and hexadecimal?
5513 converts to 1010110001001 in binary and 1589 in hexadecimal, which are helpful for computer science applications.
Is 5513 a perfect square, cube, or triangular number?
5513 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5513?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.