5800
5800 is a even composite number that follows 5799 and precedes 5801. It is composed of 24 distinct factors: 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800. Its prime factorization can be written as 2^3 × 5^2 × 29. 5800 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5800 is represented as 1011010101000 in binary and 16A8 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^3 × 5^2 × 29) reveals 6 prime building blocks.
Divisible by 2
5800 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
5800 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
5800 ends in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 5800 within several notable number theory sequences:
Timeline
Deep dive
How 5800 breaks down
5800 carries 24 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 8150, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011010101000 supports bitwise reasoning, hexadecimal 16A8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5800 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5800 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5795–5805) to tune search ranges, and educators feature 5800 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 5800 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 5800
Is 5800 a prime number?
5800 is composite with 24 total factors and the prime factorization 2^3 × 5^2 × 29.
What is the prime factorization of 5800?
It breaks down as 2^3 × 5^2 × 29, multiplying the primes 2 × 2 × 2 × 5 × 5 × 29.
How is 5800 represented in binary and hexadecimal?
5800 converts to 1011010101000 in binary and 16A8 in hexadecimal, which are helpful for computer science applications.
Is 5800 a perfect square, cube, or triangular number?
5800 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5800?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.