908
908 is a even composite number that follows 907 and precedes 909. It is composed of 6 distinct factors: 1, 2, 4, 227, 454, 908. Its prime factorization can be written as 2^2 × 227. 908 is classified as a deficient number based on the sum of its proper divisors. In computer science, 908 is represented as 1110001100 in binary and 38C in hexadecimal. Historically, it is written as CMVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 227) reveals 3 prime building blocks.
Divisible by 2
908 ends in 8, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
908 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 17 is not a multiple of 9.
Divisible by 10
908 does not end in 0.
Divisible by 11
The alternating digit sum 17 is not a multiple of 11.
Deficient classification and digit analytics place 908 within several notable number theory sequences:
Timeline
Deep dive
How 908 breaks down
908 carries 6 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 688, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110001100 supports bitwise reasoning, hexadecimal 38C aligns with computing notation, and the Roman numeral CMVIII keeps the encyclopedic tradition alive. These attributes make 908 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 908 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (903–913) to tune search ranges, and educators feature 908 in worksheets about factor trees. Its binary footprint of length 10 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 908 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 908
Is 908 a prime number?
908 is composite with 6 total factors and the prime factorization 2^2 × 227.
What is the prime factorization of 908?
It breaks down as 2^2 × 227, multiplying the primes 2 × 2 × 227.
How is 908 represented in binary and hexadecimal?
908 converts to 1110001100 in binary and 38C in hexadecimal, which are helpful for computer science applications.
Is 908 a perfect square, cube, or triangular number?
908 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 908?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.