4104
4104 is a even composite number that follows 4103 and precedes 4105. It is composed of 32 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104. Its prime factorization can be written as 2^3 × 3^3 × 19. 4104 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4104 is represented as 1000000001000 in binary and 1008 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 3^3 × 19) reveals 7 prime building blocks.
Divisible by 2
4104 ends in 4, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
4104 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 9 is a multiple of 9.
Divisible by 10
4104 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 4104 within several notable number theory sequences:
Timeline
Deep dive
How 4104 breaks down
4104 carries 32 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 7896, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000000001000 supports bitwise reasoning, hexadecimal 1008 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4104 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4104 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4099–4109) to tune search ranges, and educators feature 4104 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, Abundant numbers) help historians, numerologists, and trivia writers tie 4104 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 4104
Is 4104 a prime number?
4104 is composite with 32 total factors and the prime factorization 2^3 × 3^3 × 19.
What is the prime factorization of 4104?
It breaks down as 2^3 × 3^3 × 19, multiplying the primes 2 × 2 × 2 × 3 × 3 × 3 × 19.
How is 4104 represented in binary and hexadecimal?
4104 converts to 1000000001000 in binary and 1008 in hexadecimal, which are helpful for computer science applications.
Is 4104 a perfect square, cube, or triangular number?
4104 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4104?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.