308
308 is a even composite number that follows 307 and precedes 309. It is composed of 12 distinct factors: 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. Its prime factorization can be written as 2^2 × 7 × 11. 308 is classified as a abundant number based on the sum of its proper divisors. In computer science, 308 is represented as 100110100 in binary and 134 in hexadecimal. Historically, it is written as CCCVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 11) reveals 4 prime building blocks.
Divisible by 2
308 ends in 8, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
308 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 11 is not a multiple of 9.
Divisible by 10
308 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 308 within several notable number theory sequences:
Timeline
Deep dive
How 308 breaks down
308 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 364, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110100 supports bitwise reasoning, hexadecimal 134 aligns with computing notation, and the Roman numeral CCCVIII keeps the encyclopedic tradition alive. These attributes make 308 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 308 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (303–313) to tune search ranges, and educators feature 308 in worksheets about factor trees. Its binary footprint of length 9 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 308 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 308
Is 308 a prime number?
308 is composite with 12 total factors and the prime factorization 2^2 × 7 × 11.
What is the prime factorization of 308?
It breaks down as 2^2 × 7 × 11, multiplying the primes 2 × 2 × 7 × 11.
How is 308 represented in binary and hexadecimal?
308 converts to 100110100 in binary and 134 in hexadecimal, which are helpful for computer science applications.
Is 308 a perfect square, cube, or triangular number?
308 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 308?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.