5104
5104 is a even composite number that follows 5103 and precedes 5105. It is composed of 20 distinct factors: 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104. Its prime factorization can be written as 2^4 × 11 × 29. 5104 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5104 is represented as 1001111110000 in binary and 13F0 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 11 × 29) reveals 6 prime building blocks.
Divisible by 2
5104 ends in 4, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
5104 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 10 is not a multiple of 9.
Divisible by 10
5104 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 5104 within several notable number theory sequences:
Timeline
Deep dive
How 5104 breaks down
5104 carries 20 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 6056, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001111110000 supports bitwise reasoning, hexadecimal 13F0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5104 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5104 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5099–5109) to tune search ranges, and educators feature 5104 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 5104 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 5104
Is 5104 a prime number?
5104 is composite with 20 total factors and the prime factorization 2^4 × 11 × 29.
What is the prime factorization of 5104?
It breaks down as 2^4 × 11 × 29, multiplying the primes 2 × 2 × 2 × 2 × 11 × 29.
How is 5104 represented in binary and hexadecimal?
5104 converts to 1001111110000 in binary and 13F0 in hexadecimal, which are helpful for computer science applications.
Is 5104 a perfect square, cube, or triangular number?
5104 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5104?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.