2288
2288 is a even composite number that follows 2287 and precedes 2289. It is composed of 20 distinct factors: 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288. Its prime factorization can be written as 2^4 × 11 × 13. 2288 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2288 is represented as 100011110000 in binary and 8F0 in hexadecimal. Historically, it is written as MMCCLXXXVIII in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 11 × 13) reveals 6 prime building blocks.
Divisible by 2
2288 ends in 8, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
2288 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 20 is not a multiple of 9.
Divisible by 10
2288 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 2288 within several notable number theory sequences:
Timeline
Deep dive
How 2288 breaks down
2288 carries 20 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 2920, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100011110000 supports bitwise reasoning, hexadecimal 8F0 aligns with computing notation, and the Roman numeral MMCCLXXXVIII keeps the encyclopedic tradition alive. These attributes make 2288 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2288 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2283–2293) to tune search ranges, and educators feature 2288 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2288 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 2288
Is 2288 a prime number?
2288 is composite with 20 total factors and the prime factorization 2^4 × 11 × 13.
What is the prime factorization of 2288?
It breaks down as 2^4 × 11 × 13, multiplying the primes 2 × 2 × 2 × 2 × 11 × 13.
How is 2288 represented in binary and hexadecimal?
2288 converts to 100011110000 in binary and 8F0 in hexadecimal, which are helpful for computer science applications.
Is 2288 a perfect square, cube, or triangular number?
2288 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2288?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.