3944
3944 is a even composite number that follows 3943 and precedes 3945. It is composed of 16 distinct factors: 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972, 3944. Its prime factorization can be written as 2^3 × 17 × 29. 3944 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3944 is represented as 111101101000 in binary and F68 in hexadecimal. Historically, it is written as MMMCMXLIV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 17 × 29) reveals 5 prime building blocks.
Divisible by 2
3944 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
3944 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 20 is not a multiple of 9.
Divisible by 10
3944 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 3944 within several notable number theory sequences:
Timeline
Deep dive
How 3944 breaks down
3944 carries 16 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 4156, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101101000 supports bitwise reasoning, hexadecimal F68 aligns with computing notation, and the Roman numeral MMMCMXLIV keeps the encyclopedic tradition alive. These attributes make 3944 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3944 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3939–3949) to tune search ranges, and educators feature 3944 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 3944 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 3944
Is 3944 a prime number?
3944 is composite with 16 total factors and the prime factorization 2^3 × 17 × 29.
What is the prime factorization of 3944?
It breaks down as 2^3 × 17 × 29, multiplying the primes 2 × 2 × 2 × 17 × 29.
How is 3944 represented in binary and hexadecimal?
3944 converts to 111101101000 in binary and F68 in hexadecimal, which are helpful for computer science applications.
Is 3944 a perfect square, cube, or triangular number?
3944 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3944?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.