42108
42108 is a even composite number that follows 42107 and precedes 42109. It is composed of 36 distinct factors: 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 121, 132, 174, 242, 319, 348, 363, 484, 638, 726, 957, 1276, 1452, 1914, 3509, 3828, 7018, 10527, 14036, 21054, 42108. Its prime factorization can be written as 2^2 × 3 × 11^2 × 29. 42108 is classified as a abundant number based on the sum of its proper divisors. In computer science, 42108 is represented as 1010010001111100 in binary and A47C in hexadecimal.
Factor Analysis
36 FactorsProperties
The prime factorization (2^2 × 3 × 11^2 × 29) reveals 6 prime building blocks.
Divisible by 2
42108 ends in 8, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
42108 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 15 is not a multiple of 9.
Divisible by 10
42108 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 42108 within several notable number theory sequences:
Timeline
Deep dive
How 42108 breaks down
42108 carries 36 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 69612, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010010001111100 supports bitwise reasoning, hexadecimal A47C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 42108 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 42108 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42103–42113) to tune search ranges, and educators feature 42108 in worksheets about factor trees. Its binary footprint of length 16 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 42108 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 42108
Is 42108 a prime number?
42108 is composite with 36 total factors and the prime factorization 2^2 × 3 × 11^2 × 29.
What is the prime factorization of 42108?
It breaks down as 2^2 × 3 × 11^2 × 29, multiplying the primes 2 × 2 × 3 × 11 × 11 × 29.
How is 42108 represented in binary and hexadecimal?
42108 converts to 1010010001111100 in binary and A47C in hexadecimal, which are helpful for computer science applications.
Is 42108 a perfect square, cube, or triangular number?
42108 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 42108?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.