3894
3894 is a even composite number that follows 3893 and precedes 3895. It is composed of 16 distinct factors: 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894. Its prime factorization can be written as 2 × 3 × 11 × 59. 3894 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3894 is represented as 111100110110 in binary and F36 in hexadecimal. Historically, it is written as MMMDCCCXCIV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 11 × 59) reveals 4 prime building blocks.
Divisible by 2
3894 ends in 4, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
3894 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 24 is not a multiple of 9.
Divisible by 10
3894 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 3894 within several notable number theory sequences:
Timeline
Deep dive
How 3894 breaks down
3894 carries 16 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 4746, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100110110 supports bitwise reasoning, hexadecimal F36 aligns with computing notation, and the Roman numeral MMMDCCCXCIV keeps the encyclopedic tradition alive. These attributes make 3894 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3894 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3889–3899) to tune search ranges, and educators feature 3894 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 3894 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 3894
Is 3894 a prime number?
3894 is composite with 16 total factors and the prime factorization 2 × 3 × 11 × 59.
What is the prime factorization of 3894?
It breaks down as 2 × 3 × 11 × 59, multiplying the primes 2 × 3 × 11 × 59.
How is 3894 represented in binary and hexadecimal?
3894 converts to 111100110110 in binary and F36 in hexadecimal, which are helpful for computer science applications.
Is 3894 a perfect square, cube, or triangular number?
3894 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3894?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.