237
237 is a odd composite number that follows 236 and precedes 238. It is composed of 4 distinct factors: 1, 3, 79, 237. Its prime factorization can be written as 3 × 79. 237 is classified as a deficient number based on the sum of its proper divisors. In computer science, 237 is represented as 11101101 in binary and ED in hexadecimal. Historically, it is written as CCXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 79) reveals 2 prime building blocks.
Divisible by 2
237 ends in 7, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 37 are not divisible by 4.
Divisible by 5
237 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 12 is not a multiple of 9.
Divisible by 10
237 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 237 within several notable number theory sequences:
Timeline
Deep dive
How 237 breaks down
237 carries 4 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 83, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11101101 supports bitwise reasoning, hexadecimal ED aligns with computing notation, and the Roman numeral CCXXXVII keeps the encyclopedic tradition alive. These attributes make 237 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 237 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (232–242) to tune search ranges, and educators feature 237 in worksheets about factor trees. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 237 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 237
Is 237 a prime number?
237 is composite with 4 total factors and the prime factorization 3 × 79.
What is the prime factorization of 237?
It breaks down as 3 × 79, multiplying the primes 3 × 79.
How is 237 represented in binary and hexadecimal?
237 converts to 11101101 in binary and ED in hexadecimal, which are helpful for computer science applications.
Is 237 a perfect square, cube, or triangular number?
237 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 237?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.