3241
3241 is a odd composite number that follows 3240 and precedes 3242. It is composed of 4 distinct factors: 1, 7, 463, 3241. Its prime factorization can be written as 7 × 463. 3241 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3241 is represented as 110010101001 in binary and CA9 in hexadecimal. Historically, it is written as MMMCCXLI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 463) reveals 2 prime building blocks.
Divisible by 2
3241 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
3241 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 10 is not a multiple of 9.
Divisible by 10
3241 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 3241 within several notable number theory sequences:
Timeline
Deep dive
How 3241 breaks down
3241 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 471, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010101001 supports bitwise reasoning, hexadecimal CA9 aligns with computing notation, and the Roman numeral MMMCCXLI keeps the encyclopedic tradition alive. These attributes make 3241 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3241 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3236–3246) to tune search ranges, and educators feature 3241 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 3241 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 3241
Is 3241 a prime number?
3241 is composite with 4 total factors and the prime factorization 7 × 463.
What is the prime factorization of 3241?
It breaks down as 7 × 463, multiplying the primes 7 × 463.
How is 3241 represented in binary and hexadecimal?
3241 converts to 110010101001 in binary and CA9 in hexadecimal, which are helpful for computer science applications.
Is 3241 a perfect square, cube, or triangular number?
3241 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3241?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.