55513
55513 is a odd composite number that follows 55512 and precedes 55514. It is composed of 4 distinct factors: 1, 43, 1291, 55513. Its prime factorization can be written as 43 × 1291. 55513 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55513 is represented as 1101100011011001 in binary and D8D9 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (43 × 1291) reveals 2 prime building blocks.
Divisible by 2
55513 ends in 3, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
55513 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 19 is not a multiple of 9.
Divisible by 10
55513 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 55513 within several notable number theory sequences:
Timeline
Deep dive
How 55513 breaks down
55513 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1335, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100011011001 supports bitwise reasoning, hexadecimal D8D9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55513 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55513 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55508–55518) to tune search ranges, and educators feature 55513 in worksheets about factor trees. Its binary footprint of length 16 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 55513 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 55513
Is 55513 a prime number?
55513 is composite with 4 total factors and the prime factorization 43 × 1291.
What is the prime factorization of 55513?
It breaks down as 43 × 1291, multiplying the primes 43 × 1291.
How is 55513 represented in binary and hexadecimal?
55513 converts to 1101100011011001 in binary and D8D9 in hexadecimal, which are helpful for computer science applications.
Is 55513 a perfect square, cube, or triangular number?
55513 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55513?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.