7088
7088 is a even composite number that follows 7087 and precedes 7089. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088. Its prime factorization can be written as 2^4 × 443. 7088 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7088 is represented as 1101110110000 in binary and 1BB0 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 443) reveals 5 prime building blocks.
Divisible by 2
7088 ends in 8, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
7088 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 23 is not a multiple of 9.
Divisible by 10
7088 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 7088 within several notable number theory sequences:
Timeline
Deep dive
How 7088 breaks down
7088 carries 10 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 6676, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101110110000 supports bitwise reasoning, hexadecimal 1BB0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7088 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7088 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7083–7093) to tune search ranges, and educators feature 7088 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, Deficient numbers) help historians, numerologists, and trivia writers tie 7088 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 7088
Is 7088 a prime number?
7088 is composite with 10 total factors and the prime factorization 2^4 × 443.
What is the prime factorization of 7088?
It breaks down as 2^4 × 443, multiplying the primes 2 × 2 × 2 × 2 × 443.
How is 7088 represented in binary and hexadecimal?
7088 converts to 1101110110000 in binary and 1BB0 in hexadecimal, which are helpful for computer science applications.
Is 7088 a perfect square, cube, or triangular number?
7088 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7088?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.