239
239 is a odd prime number that follows 238 and precedes 240. As a prime number, 239 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 239. 239 is classified as a deficient number based on the sum of its proper divisors. In computer science, 239 is represented as 11101111 in binary and EF in hexadecimal. Historically, it is written as CCXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
239 is prime, so its only factors are 1 and 239.
Divisible by 2
239 ends in 9, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
239 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
239 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 239 within several notable number theory sequences:
Timeline
Deep dive
How 239 breaks down
239 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 11101111 supports bitwise reasoning, hexadecimal EF aligns with computing notation, and the Roman numeral CCXXXIX keeps the encyclopedic tradition alive. These attributes make 239 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 239 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (234–244) to tune search ranges, and educators feature 239 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 239 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 239
Is 239 a prime number?
239 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 239?
239 is already prime, so the factorization is simply 239.
How is 239 represented in binary and hexadecimal?
239 converts to 11101111 in binary and EF in hexadecimal, which are helpful for computer science applications.
Is 239 a perfect square, cube, or triangular number?
239 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 239?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.