5584
5584 is a even composite number that follows 5583 and precedes 5585. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584. Its prime factorization can be written as 2^4 × 349. 5584 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5584 is represented as 1010111010000 in binary and 15D0 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 349) reveals 5 prime building blocks.
Divisible by 2
5584 ends in 4, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
5584 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 22 is not a multiple of 9.
Divisible by 10
5584 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 5584 within several notable number theory sequences:
Timeline
Deep dive
How 5584 breaks down
5584 carries 10 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 5266, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010111010000 supports bitwise reasoning, hexadecimal 15D0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5584 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5584 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5579–5589) to tune search ranges, and educators feature 5584 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 5584 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 5584
Is 5584 a prime number?
5584 is composite with 10 total factors and the prime factorization 2^4 × 349.
What is the prime factorization of 5584?
It breaks down as 2^4 × 349, multiplying the primes 2 × 2 × 2 × 2 × 349.
How is 5584 represented in binary and hexadecimal?
5584 converts to 1010111010000 in binary and 15D0 in hexadecimal, which are helpful for computer science applications.
Is 5584 a perfect square, cube, or triangular number?
5584 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5584?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.