8055
8055 is a odd composite number that follows 8054 and precedes 8056. It is composed of 12 distinct factors: 1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055. Its prime factorization can be written as 3^2 × 5 × 179. 8055 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8055 is represented as 1111101110111 in binary and 1F77 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 5 × 179) reveals 4 prime building blocks.
Divisible by 2
8055 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
8055 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 18 is a multiple of 9.
Divisible by 10
8055 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 8055 within several notable number theory sequences:
Timeline
Deep dive
How 8055 breaks down
8055 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 5985, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101110111 supports bitwise reasoning, hexadecimal 1F77 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8055 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8055 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8050–8060) to tune search ranges, and educators feature 8055 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 8055 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 8055
Is 8055 a prime number?
8055 is composite with 12 total factors and the prime factorization 3^2 × 5 × 179.
What is the prime factorization of 8055?
It breaks down as 3^2 × 5 × 179, multiplying the primes 3 × 3 × 5 × 179.
How is 8055 represented in binary and hexadecimal?
8055 converts to 1111101110111 in binary and 1F77 in hexadecimal, which are helpful for computer science applications.
Is 8055 a perfect square, cube, or triangular number?
8055 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8055?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.