8
8 is a even composite number that follows 7 and precedes 9. It is composed of 4 distinct factors: 1, 2, 4, 8. Its prime factorization can be written as 2^3. 8 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8 is represented as 1000 in binary and 8 in hexadecimal. Historically, it is written as VIII in Roman numerals. It also belongs to the perfect cube, Fibonacci number sequences.
Factor Analysis
4 FactorsProperties
The prime factorization (2^3) reveals 3 prime building blocks.
Divisible by 2
8 ends in 8, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
8 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 8 is not a multiple of 9.
Divisible by 10
8 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 8 within several notable number theory sequences:
Timeline
Deep dive
How 8 breaks down
8 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 7, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000 supports bitwise reasoning, hexadecimal 8 aligns with computing notation, and the Roman numeral VIII keeps the encyclopedic tradition alive. These attributes make 8 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3–13) to tune search ranges, and educators feature 8 in worksheets about factor trees. Its binary footprint of length 4 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Perfect cubes, Fibonacci numbers) help historians, numerologists, and trivia writers tie 8 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 8
Is 8 a prime number?
8 is composite with 4 total factors and the prime factorization 2^3.
What is the prime factorization of 8?
It breaks down as 2^3, multiplying the primes 2 × 2 × 2.
How is 8 represented in binary and hexadecimal?
8 converts to 1000 in binary and 8 in hexadecimal, which are helpful for computer science applications.
Is 8 a perfect square, cube, or triangular number?
8 is not a perfect square, is a perfect cube, and is not triangular. It also belongs to the Fibonacci sequence.
What are the digit sum and digital root of 8?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.