337
337 is a odd prime number that follows 336 and precedes 338. As a prime number, 337 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 337. 337 is classified as a deficient number based on the sum of its proper divisors. In computer science, 337 is represented as 101010001 in binary and 151 in hexadecimal. Historically, it is written as CCCXXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
337 is prime, so its only factors are 1 and 337.
Divisible by 2
337 ends in 7, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 37 are not divisible by 4.
Divisible by 5
337 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 13 is not a multiple of 9.
Divisible by 10
337 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 337 within several notable number theory sequences:
Timeline
Deep dive
How 337 breaks down
337 carries 2 distinct factors and a digit signature of 13 (4 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 101010001 supports bitwise reasoning, hexadecimal 151 aligns with computing notation, and the Roman numeral CCCXXXVII keeps the encyclopedic tradition alive. These attributes make 337 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 337 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (332–342) to tune search ranges, and educators feature 337 in worksheets about prime identification. Its binary footprint of length 9 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 337 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 337
Is 337 a prime number?
337 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 337?
337 is already prime, so the factorization is simply 337.
How is 337 represented in binary and hexadecimal?
337 converts to 101010001 in binary and 151 in hexadecimal, which are helpful for computer science applications.
Is 337 a perfect square, cube, or triangular number?
337 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 337?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.