58013
58013 is a odd prime number that follows 58012 and precedes 58014. As a prime number, 58013 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 58013. 58013 is classified as a deficient number based on the sum of its proper divisors. In computer science, 58013 is represented as 1110001010011101 in binary and E29D in hexadecimal.
Factor Analysis
2 FactorsProperties
58013 is prime, so its only factors are 1 and 58013.
Divisible by 2
58013 ends in 3, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
58013 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
58013 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 58013 within several notable number theory sequences:
Timeline
Deep dive
How 58013 breaks down
58013 carries 2 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110001010011101 supports bitwise reasoning, hexadecimal E29D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 58013 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 58013 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (58008–58018) to tune search ranges, and educators feature 58013 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 58013 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 58013
Is 58013 a prime number?
58013 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 58013?
58013 is already prime, so the factorization is simply 58013.
How is 58013 represented in binary and hexadecimal?
58013 converts to 1110001010011101 in binary and E29D in hexadecimal, which are helpful for computer science applications.
Is 58013 a perfect square, cube, or triangular number?
58013 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 58013?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.