5504
5504 is a even composite number that follows 5503 and precedes 5505. It is composed of 16 distinct factors: 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504. Its prime factorization can be written as 2^7 × 43. 5504 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5504 is represented as 1010110000000 in binary and 1580 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^7 × 43) reveals 8 prime building blocks.
Divisible by 2
5504 ends in 4, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
5504 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
5504 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Abundant classification and digit analytics place 5504 within several notable number theory sequences:
Timeline
Deep dive
How 5504 breaks down
5504 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 5716, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010110000000 supports bitwise reasoning, hexadecimal 1580 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5504 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5504 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5499–5509) to tune search ranges, and educators feature 5504 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 5504 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 5504
Is 5504 a prime number?
5504 is composite with 16 total factors and the prime factorization 2^7 × 43.
What is the prime factorization of 5504?
It breaks down as 2^7 × 43, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 43.
How is 5504 represented in binary and hexadecimal?
5504 converts to 1010110000000 in binary and 1580 in hexadecimal, which are helpful for computer science applications.
Is 5504 a perfect square, cube, or triangular number?
5504 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5504?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.