5058
5058 is a even composite number that follows 5057 and precedes 5059. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 281, 562, 843, 1686, 2529, 5058. Its prime factorization can be written as 2 × 3^2 × 281. 5058 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5058 is represented as 1001111000010 in binary and 13C2 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 281) reveals 4 prime building blocks.
Divisible by 2
5058 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 58 are not divisible by 4.
Divisible by 5
5058 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 18 is a multiple of 9.
Divisible by 10
5058 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 5058 within several notable number theory sequences:
Timeline
Deep dive
How 5058 breaks down
5058 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 5940, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001111000010 supports bitwise reasoning, hexadecimal 13C2 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5058 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5058 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5053–5063) to tune search ranges, and educators feature 5058 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 5058 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 5058
Is 5058 a prime number?
5058 is composite with 12 total factors and the prime factorization 2 × 3^2 × 281.
What is the prime factorization of 5058?
It breaks down as 2 × 3^2 × 281, multiplying the primes 2 × 3 × 3 × 281.
How is 5058 represented in binary and hexadecimal?
5058 converts to 1001111000010 in binary and 13C2 in hexadecimal, which are helpful for computer science applications.
Is 5058 a perfect square, cube, or triangular number?
5058 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5058?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.