1088
1088 is a even composite number that follows 1087 and precedes 1089. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088. Its prime factorization can be written as 2^6 × 17. 1088 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1088 is represented as 10001000000 in binary and 440 in hexadecimal. Historically, it is written as MLXXXVIII in Roman numerals.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 17) reveals 7 prime building blocks.
Divisible by 2
1088 ends in 8, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
1088 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 17 is not a multiple of 9.
Divisible by 10
1088 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 1088 within several notable number theory sequences:
Timeline
Deep dive
How 1088 breaks down
1088 carries 14 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 1198, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001000000 supports bitwise reasoning, hexadecimal 440 aligns with computing notation, and the Roman numeral MLXXXVIII keeps the encyclopedic tradition alive. These attributes make 1088 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1088 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1083–1093) to tune search ranges, and educators feature 1088 in worksheets about factor trees. Its binary footprint of length 11 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 1088 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 1088
Is 1088 a prime number?
1088 is composite with 14 total factors and the prime factorization 2^6 × 17.
What is the prime factorization of 1088?
It breaks down as 2^6 × 17, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 17.
How is 1088 represented in binary and hexadecimal?
1088 converts to 10001000000 in binary and 440 in hexadecimal, which are helpful for computer science applications.
Is 1088 a perfect square, cube, or triangular number?
1088 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1088?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.