8775
8775 is a odd composite number that follows 8774 and precedes 8776. It is composed of 24 distinct factors: 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775. Its prime factorization can be written as 3^3 × 5^2 × 13. 8775 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8775 is represented as 10001001000111 in binary and 2247 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (3^3 × 5^2 × 13) reveals 6 prime building blocks.
Divisible by 2
8775 ends in 5, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
8775 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 27 is a multiple of 9.
Divisible by 10
8775 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 8775 within several notable number theory sequences:
Timeline
Deep dive
How 8775 breaks down
8775 carries 24 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 8585, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001001000111 supports bitwise reasoning, hexadecimal 2247 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8775 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8775 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8770–8780) to tune search ranges, and educators feature 8775 in worksheets about factor trees. Its binary footprint of length 14 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 8775 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 8775
Is 8775 a prime number?
8775 is composite with 24 total factors and the prime factorization 3^3 × 5^2 × 13.
What is the prime factorization of 8775?
It breaks down as 3^3 × 5^2 × 13, multiplying the primes 3 × 3 × 3 × 5 × 5 × 13.
How is 8775 represented in binary and hexadecimal?
8775 converts to 10001001000111 in binary and 2247 in hexadecimal, which are helpful for computer science applications.
Is 8775 a perfect square, cube, or triangular number?
8775 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8775?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.