3239
3239 is a odd composite number that follows 3238 and precedes 3240. It is composed of 4 distinct factors: 1, 41, 79, 3239. Its prime factorization can be written as 41 × 79. 3239 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3239 is represented as 110010100111 in binary and CA7 in hexadecimal. Historically, it is written as MMMCCXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (41 × 79) reveals 2 prime building blocks.
Divisible by 2
3239 ends in 9, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
3239 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 17 is not a multiple of 9.
Divisible by 10
3239 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 3239 within several notable number theory sequences:
Timeline
Deep dive
How 3239 breaks down
3239 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 121, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010100111 supports bitwise reasoning, hexadecimal CA7 aligns with computing notation, and the Roman numeral MMMCCXXXIX keeps the encyclopedic tradition alive. These attributes make 3239 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3239 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3234–3244) to tune search ranges, and educators feature 3239 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3239 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 3239
Is 3239 a prime number?
3239 is composite with 4 total factors and the prime factorization 41 × 79.
What is the prime factorization of 3239?
It breaks down as 41 × 79, multiplying the primes 41 × 79.
How is 3239 represented in binary and hexadecimal?
3239 converts to 110010100111 in binary and CA7 in hexadecimal, which are helpful for computer science applications.
Is 3239 a perfect square, cube, or triangular number?
3239 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3239?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.