8955
8955 is a odd composite number that follows 8954 and precedes 8956. It is composed of 12 distinct factors: 1, 3, 5, 9, 15, 45, 199, 597, 995, 1791, 2985, 8955. Its prime factorization can be written as 3^2 × 5 × 199. 8955 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8955 is represented as 10001011111011 in binary and 22FB in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 5 × 199) reveals 4 prime building blocks.
Divisible by 2
8955 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 55 are not divisible by 4.
Divisible by 5
8955 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
8955 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 8955 within several notable number theory sequences:
Timeline
Deep dive
How 8955 breaks down
8955 carries 12 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 6645, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001011111011 supports bitwise reasoning, hexadecimal 22FB aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8955 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8955 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8950–8960) to tune search ranges, and educators feature 8955 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 8955 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 8955
Is 8955 a prime number?
8955 is composite with 12 total factors and the prime factorization 3^2 × 5 × 199.
What is the prime factorization of 8955?
It breaks down as 3^2 × 5 × 199, multiplying the primes 3 × 3 × 5 × 199.
How is 8955 represented in binary and hexadecimal?
8955 converts to 10001011111011 in binary and 22FB in hexadecimal, which are helpful for computer science applications.
Is 8955 a perfect square, cube, or triangular number?
8955 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8955?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.