3444
3444 is a even composite number that follows 3443 and precedes 3445. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. Its prime factorization can be written as 2^2 × 3 × 7 × 41. 3444 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3444 is represented as 110101110100 in binary and D74 in hexadecimal. Historically, it is written as MMMCDXLIV in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 7 × 41) reveals 5 prime building blocks.
Divisible by 2
3444 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
3444 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
3444 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 3444 within several notable number theory sequences:
Timeline
Deep dive
How 3444 breaks down
3444 carries 24 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 5964, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101110100 supports bitwise reasoning, hexadecimal D74 aligns with computing notation, and the Roman numeral MMMCDXLIV keeps the encyclopedic tradition alive. These attributes make 3444 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3444 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3439–3449) to tune search ranges, and educators feature 3444 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3444 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 3444
Is 3444 a prime number?
3444 is composite with 24 total factors and the prime factorization 2^2 × 3 × 7 × 41.
What is the prime factorization of 3444?
It breaks down as 2^2 × 3 × 7 × 41, multiplying the primes 2 × 2 × 3 × 7 × 41.
How is 3444 represented in binary and hexadecimal?
3444 converts to 110101110100 in binary and D74 in hexadecimal, which are helpful for computer science applications.
Is 3444 a perfect square, cube, or triangular number?
3444 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3444?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.