5004
5004 is a even composite number that follows 5003 and precedes 5005. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004. Its prime factorization can be written as 2^2 × 3^2 × 139. 5004 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5004 is represented as 1001110001100 in binary and 138C in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 139) reveals 5 prime building blocks.
Divisible by 2
5004 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
5004 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
5004 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 5004 within several notable number theory sequences:
Timeline
Deep dive
How 5004 breaks down
5004 carries 18 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 7736, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110001100 supports bitwise reasoning, hexadecimal 138C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5004 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5004 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4999–5009) to tune search ranges, and educators feature 5004 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 5004 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 5004
Is 5004 a prime number?
5004 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 139.
What is the prime factorization of 5004?
It breaks down as 2^2 × 3^2 × 139, multiplying the primes 2 × 2 × 3 × 3 × 139.
How is 5004 represented in binary and hexadecimal?
5004 converts to 1001110001100 in binary and 138C in hexadecimal, which are helpful for computer science applications.
Is 5004 a perfect square, cube, or triangular number?
5004 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5004?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.