9137
9137 is a odd prime number that follows 9136 and precedes 9138. As a prime number, 9137 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 9137. 9137 is classified as a deficient number based on the sum of its proper divisors. In computer science, 9137 is represented as 10001110110001 in binary and 23B1 in hexadecimal.
Factor Analysis
2 FactorsProperties
9137 is prime, so its only factors are 1 and 9137.
Divisible by 2
9137 ends in 7, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 37 are not divisible by 4.
Divisible by 5
9137 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 20 is not a multiple of 9.
Divisible by 10
9137 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 9137 within several notable number theory sequences:
Timeline
Deep dive
How 9137 breaks down
9137 carries 2 distinct factors and a digit signature of 20 (2 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 10001110110001 supports bitwise reasoning, hexadecimal 23B1 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9137 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9137 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9132–9142) to tune search ranges, and educators feature 9137 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 9137 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 9137
Is 9137 a prime number?
9137 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 9137?
9137 is already prime, so the factorization is simply 9137.
How is 9137 represented in binary and hexadecimal?
9137 converts to 10001110110001 in binary and 23B1 in hexadecimal, which are helpful for computer science applications.
Is 9137 a perfect square, cube, or triangular number?
9137 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9137?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.