1208
1208 is a even composite number that follows 1207 and precedes 1209. It is composed of 8 distinct factors: 1, 2, 4, 8, 151, 302, 604, 1208. Its prime factorization can be written as 2^3 × 151. 1208 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1208 is represented as 10010111000 in binary and 4B8 in hexadecimal. Historically, it is written as MCCVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 151) reveals 4 prime building blocks.
Divisible by 2
1208 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
1208 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
1208 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 1208 within several notable number theory sequences:
Timeline
Deep dive
How 1208 breaks down
1208 carries 8 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1072, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010111000 supports bitwise reasoning, hexadecimal 4B8 aligns with computing notation, and the Roman numeral MCCVIII keeps the encyclopedic tradition alive. These attributes make 1208 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1208 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1203–1213) to tune search ranges, and educators feature 1208 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, Deficient numbers) help historians, numerologists, and trivia writers tie 1208 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 1208
Is 1208 a prime number?
1208 is composite with 8 total factors and the prime factorization 2^3 × 151.
What is the prime factorization of 1208?
It breaks down as 2^3 × 151, multiplying the primes 2 × 2 × 2 × 151.
How is 1208 represented in binary and hexadecimal?
1208 converts to 10010111000 in binary and 4B8 in hexadecimal, which are helpful for computer science applications.
Is 1208 a perfect square, cube, or triangular number?
1208 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1208?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.