2108
2108 is a even composite number that follows 2107 and precedes 2109. It is composed of 12 distinct factors: 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108. Its prime factorization can be written as 2^2 × 17 × 31. 2108 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2108 is represented as 100000111100 in binary and 83C in hexadecimal. Historically, it is written as MMCVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 17 × 31) reveals 4 prime building blocks.
Divisible by 2
2108 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
2108 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
2108 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 2108 within several notable number theory sequences:
Timeline
Deep dive
How 2108 breaks down
2108 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1924, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100000111100 supports bitwise reasoning, hexadecimal 83C aligns with computing notation, and the Roman numeral MMCVIII keeps the encyclopedic tradition alive. These attributes make 2108 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2108 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2103–2113) to tune search ranges, and educators feature 2108 in worksheets about factor trees. Its binary footprint of length 12 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 2108 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 2108
Is 2108 a prime number?
2108 is composite with 12 total factors and the prime factorization 2^2 × 17 × 31.
What is the prime factorization of 2108?
It breaks down as 2^2 × 17 × 31, multiplying the primes 2 × 2 × 17 × 31.
How is 2108 represented in binary and hexadecimal?
2108 converts to 100000111100 in binary and 83C in hexadecimal, which are helpful for computer science applications.
Is 2108 a perfect square, cube, or triangular number?
2108 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2108?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.