1908
1908 is a even composite number that follows 1907 and precedes 1909. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908. Its prime factorization can be written as 2^2 × 3^2 × 53. 1908 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1908 is represented as 11101110100 in binary and 774 in hexadecimal. Historically, it is written as MCMVIII in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 53) reveals 5 prime building blocks.
Divisible by 2
1908 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
1908 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 18 is a multiple of 9.
Divisible by 10
1908 does not end in 0.
Divisible by 11
The alternating digit sum -16 is not a multiple of 11.
Abundant classification and digit analytics place 1908 within several notable number theory sequences:
Timeline
Deep dive
How 1908 breaks down
1908 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 3006, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11101110100 supports bitwise reasoning, hexadecimal 774 aligns with computing notation, and the Roman numeral MCMVIII keeps the encyclopedic tradition alive. These attributes make 1908 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1908 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1903–1913) to tune search ranges, and educators feature 1908 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 1908 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 1908
Is 1908 a prime number?
1908 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 53.
What is the prime factorization of 1908?
It breaks down as 2^2 × 3^2 × 53, multiplying the primes 2 × 2 × 3 × 3 × 53.
How is 1908 represented in binary and hexadecimal?
1908 converts to 11101110100 in binary and 774 in hexadecimal, which are helpful for computer science applications.
Is 1908 a perfect square, cube, or triangular number?
1908 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1908?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.