58004
58004 is a even composite number that follows 58003 and precedes 58005. It is composed of 12 distinct factors: 1, 2, 4, 17, 34, 68, 853, 1706, 3412, 14501, 29002, 58004. Its prime factorization can be written as 2^2 × 17 × 853. 58004 is classified as a deficient number based on the sum of its proper divisors. In computer science, 58004 is represented as 1110001010010100 in binary and E294 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 17 × 853) reveals 4 prime building blocks.
Divisible by 2
58004 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
58004 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 17 is not a multiple of 9.
Divisible by 10
58004 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 58004 within several notable number theory sequences:
Timeline
Deep dive
How 58004 breaks down
58004 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 49600, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110001010010100 supports bitwise reasoning, hexadecimal E294 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 58004 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 58004 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (57999–58009) to tune search ranges, and educators feature 58004 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, Deficient numbers) help historians, numerologists, and trivia writers tie 58004 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 58004
Is 58004 a prime number?
58004 is composite with 12 total factors and the prime factorization 2^2 × 17 × 853.
What is the prime factorization of 58004?
It breaks down as 2^2 × 17 × 853, multiplying the primes 2 × 2 × 17 × 853.
How is 58004 represented in binary and hexadecimal?
58004 converts to 1110001010010100 in binary and E294 in hexadecimal, which are helpful for computer science applications.
Is 58004 a perfect square, cube, or triangular number?
58004 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 58004?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.