238
238 is a even composite number that follows 237 and precedes 239. It is composed of 8 distinct factors: 1, 2, 7, 14, 17, 34, 119, 238. Its prime factorization can be written as 2 × 7 × 17. 238 is classified as a deficient number based on the sum of its proper divisors. In computer science, 238 is represented as 11101110 in binary and EE in hexadecimal. Historically, it is written as CCXXXVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 17) reveals 3 prime building blocks.
Divisible by 2
238 ends in 8, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
238 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
238 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 238 within several notable number theory sequences:
Timeline
Deep dive
How 238 breaks down
238 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 194, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11101110 supports bitwise reasoning, hexadecimal EE aligns with computing notation, and the Roman numeral CCXXXVIII keeps the encyclopedic tradition alive. These attributes make 238 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 238 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (233–243) to tune search ranges, and educators feature 238 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 238 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 238
Is 238 a prime number?
238 is composite with 8 total factors and the prime factorization 2 × 7 × 17.
What is the prime factorization of 238?
It breaks down as 2 × 7 × 17, multiplying the primes 2 × 7 × 17.
How is 238 represented in binary and hexadecimal?
238 converts to 11101110 in binary and EE in hexadecimal, which are helpful for computer science applications.
Is 238 a perfect square, cube, or triangular number?
238 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 238?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.