3137
3137 is a odd prime number that follows 3136 and precedes 3138. As a prime number, 3137 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3137. 3137 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3137 is represented as 110001000001 in binary and C41 in hexadecimal. Historically, it is written as MMMCXXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
3137 is prime, so its only factors are 1 and 3137.
Divisible by 2
3137 ends in 7, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 37 are not divisible by 4.
Divisible by 5
3137 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 14 is not a multiple of 9.
Divisible by 10
3137 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 3137 within several notable number theory sequences:
Timeline
Deep dive
How 3137 breaks down
3137 carries 2 distinct factors and a digit signature of 14 (5 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 110001000001 supports bitwise reasoning, hexadecimal C41 aligns with computing notation, and the Roman numeral MMMCXXXVII keeps the encyclopedic tradition alive. These attributes make 3137 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3137 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3132–3142) to tune search ranges, and educators feature 3137 in worksheets about prime identification. Its binary footprint of length 12 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 3137 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 3137
Is 3137 a prime number?
3137 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3137?
3137 is already prime, so the factorization is simply 3137.
How is 3137 represented in binary and hexadecimal?
3137 converts to 110001000001 in binary and C41 in hexadecimal, which are helpful for computer science applications.
Is 3137 a perfect square, cube, or triangular number?
3137 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3137?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.