4108
4108 is a even composite number that follows 4107 and precedes 4109. It is composed of 12 distinct factors: 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108. Its prime factorization can be written as 2^2 × 13 × 79. 4108 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4108 is represented as 1000000001100 in binary and 100C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 79) reveals 4 prime building blocks.
Divisible by 2
4108 ends in 8, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
4108 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 13 is not a multiple of 9.
Divisible by 10
4108 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 4108 within several notable number theory sequences:
Timeline
Deep dive
How 4108 breaks down
4108 carries 12 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 3732, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000000001100 supports bitwise reasoning, hexadecimal 100C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4108 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4108 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4103–4113) to tune search ranges, and educators feature 4108 in worksheets about factor trees. Its binary footprint of length 13 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 4108 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 4108
Is 4108 a prime number?
4108 is composite with 12 total factors and the prime factorization 2^2 × 13 × 79.
What is the prime factorization of 4108?
It breaks down as 2^2 × 13 × 79, multiplying the primes 2 × 2 × 13 × 79.
How is 4108 represented in binary and hexadecimal?
4108 converts to 1000000001100 in binary and 100C in hexadecimal, which are helpful for computer science applications.
Is 4108 a perfect square, cube, or triangular number?
4108 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4108?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.