3088
3088 is a even composite number that follows 3087 and precedes 3089. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088. Its prime factorization can be written as 2^4 × 193. 3088 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3088 is represented as 110000010000 in binary and C10 in hexadecimal. Historically, it is written as MMMLXXXVIII in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 193) reveals 5 prime building blocks.
Divisible by 2
3088 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
3088 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
3088 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 3088 within several notable number theory sequences:
Timeline
Deep dive
How 3088 breaks down
3088 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 2926, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000010000 supports bitwise reasoning, hexadecimal C10 aligns with computing notation, and the Roman numeral MMMLXXXVIII keeps the encyclopedic tradition alive. These attributes make 3088 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3088 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3083–3093) to tune search ranges, and educators feature 3088 in worksheets about factor trees. Its binary footprint of length 12 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 3088 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 3088
Is 3088 a prime number?
3088 is composite with 10 total factors and the prime factorization 2^4 × 193.
What is the prime factorization of 3088?
It breaks down as 2^4 × 193, multiplying the primes 2 × 2 × 2 × 2 × 193.
How is 3088 represented in binary and hexadecimal?
3088 converts to 110000010000 in binary and C10 in hexadecimal, which are helpful for computer science applications.
Is 3088 a perfect square, cube, or triangular number?
3088 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3088?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.