1308
1308 is a even composite number that follows 1307 and precedes 1309. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308. Its prime factorization can be written as 2^2 × 3 × 109. 1308 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1308 is represented as 10100011100 in binary and 51C in hexadecimal. Historically, it is written as MCCCVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 109) reveals 4 prime building blocks.
Divisible by 2
1308 ends in 8, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
1308 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
1308 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Abundant classification and digit analytics place 1308 within several notable number theory sequences:
Timeline
Deep dive
How 1308 breaks down
1308 carries 12 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1772, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100011100 supports bitwise reasoning, hexadecimal 51C aligns with computing notation, and the Roman numeral MCCCVIII keeps the encyclopedic tradition alive. These attributes make 1308 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1308 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1303–1313) to tune search ranges, and educators feature 1308 in worksheets about factor trees. Its binary footprint of length 11 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 1308 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 1308
Is 1308 a prime number?
1308 is composite with 12 total factors and the prime factorization 2^2 × 3 × 109.
What is the prime factorization of 1308?
It breaks down as 2^2 × 3 × 109, multiplying the primes 2 × 2 × 3 × 109.
How is 1308 represented in binary and hexadecimal?
1308 converts to 10100011100 in binary and 51C in hexadecimal, which are helpful for computer science applications.
Is 1308 a perfect square, cube, or triangular number?
1308 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1308?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.