3441
3441 is a odd composite number that follows 3440 and precedes 3442. It is composed of 8 distinct factors: 1, 3, 31, 37, 93, 111, 1147, 3441. Its prime factorization can be written as 3 × 31 × 37. 3441 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3441 is represented as 110101110001 in binary and D71 in hexadecimal. Historically, it is written as MMMCDXLI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 31 × 37) reveals 3 prime building blocks.
Divisible by 2
3441 ends in 1, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
3441 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
3441 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 3441 within several notable number theory sequences:
Timeline
Deep dive
How 3441 breaks down
3441 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1423, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101110001 supports bitwise reasoning, hexadecimal D71 aligns with computing notation, and the Roman numeral MMMCDXLI keeps the encyclopedic tradition alive. These attributes make 3441 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3441 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3436–3446) to tune search ranges, and educators feature 3441 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 3441 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 3441
Is 3441 a prime number?
3441 is composite with 8 total factors and the prime factorization 3 × 31 × 37.
What is the prime factorization of 3441?
It breaks down as 3 × 31 × 37, multiplying the primes 3 × 31 × 37.
How is 3441 represented in binary and hexadecimal?
3441 converts to 110101110001 in binary and D71 in hexadecimal, which are helpful for computer science applications.
Is 3441 a perfect square, cube, or triangular number?
3441 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3441?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.