5088
5088 is a even composite number that follows 5087 and precedes 5089. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088. Its prime factorization can be written as 2^5 × 3 × 53. 5088 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5088 is represented as 1001111100000 in binary and 13E0 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^5 × 3 × 53) reveals 7 prime building blocks.
Divisible by 2
5088 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
5088 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
5088 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 5088 within several notable number theory sequences:
Timeline
Deep dive
How 5088 breaks down
5088 carries 24 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 8520, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001111100000 supports bitwise reasoning, hexadecimal 13E0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5088 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5088 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5083–5093) to tune search ranges, and educators feature 5088 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 5088 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 5088
Is 5088 a prime number?
5088 is composite with 24 total factors and the prime factorization 2^5 × 3 × 53.
What is the prime factorization of 5088?
It breaks down as 2^5 × 3 × 53, multiplying the primes 2 × 2 × 2 × 2 × 2 × 3 × 53.
How is 5088 represented in binary and hexadecimal?
5088 converts to 1001111100000 in binary and 13E0 in hexadecimal, which are helpful for computer science applications.
Is 5088 a perfect square, cube, or triangular number?
5088 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5088?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.