9413
9413 is a odd prime number that follows 9412 and precedes 9414. As a prime number, 9413 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 9413. 9413 is classified as a deficient number based on the sum of its proper divisors. In computer science, 9413 is represented as 10010011000101 in binary and 24C5 in hexadecimal.
Factor Analysis
2 FactorsProperties
9413 is prime, so its only factors are 1 and 9413.
Divisible by 2
9413 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
9413 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
9413 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 9413 within several notable number theory sequences:
Timeline
Deep dive
How 9413 breaks down
9413 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 10010011000101 supports bitwise reasoning, hexadecimal 24C5 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9413 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9413 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9408–9418) to tune search ranges, and educators feature 9413 in worksheets about prime identification. Its binary footprint of length 14 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 9413 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 9413
Is 9413 a prime number?
9413 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 9413?
9413 is already prime, so the factorization is simply 9413.
How is 9413 represented in binary and hexadecimal?
9413 converts to 10010011000101 in binary and 24C5 in hexadecimal, which are helpful for computer science applications.
Is 9413 a perfect square, cube, or triangular number?
9413 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9413?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.