55504
55504 is a even composite number that follows 55503 and precedes 55505. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 3469, 6938, 13876, 27752, 55504. Its prime factorization can be written as 2^4 × 3469. 55504 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55504 is represented as 1101100011010000 in binary and D8D0 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 3469) reveals 5 prime building blocks.
Divisible by 2
55504 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
55504 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
55504 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 55504 within several notable number theory sequences:
Timeline
Deep dive
How 55504 breaks down
55504 carries 10 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 52066, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100011010000 supports bitwise reasoning, hexadecimal D8D0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55504 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55504 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55499–55509) to tune search ranges, and educators feature 55504 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 55504 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 55504
Is 55504 a prime number?
55504 is composite with 10 total factors and the prime factorization 2^4 × 3469.
What is the prime factorization of 55504?
It breaks down as 2^4 × 3469, multiplying the primes 2 × 2 × 2 × 2 × 3469.
How is 55504 represented in binary and hexadecimal?
55504 converts to 1101100011010000 in binary and D8D0 in hexadecimal, which are helpful for computer science applications.
Is 55504 a perfect square, cube, or triangular number?
55504 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55504?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.