3927
3927 is a odd composite number that follows 3926 and precedes 3928. It is composed of 16 distinct factors: 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927. Its prime factorization can be written as 3 × 7 × 11 × 17. 3927 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3927 is represented as 111101010111 in binary and F57 in hexadecimal. Historically, it is written as MMMCMXXVII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 7 × 11 × 17) reveals 4 prime building blocks.
Divisible by 2
3927 ends in 7, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 27 are not divisible by 4.
Divisible by 5
3927 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 21 is not a multiple of 9.
Divisible by 10
3927 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 3927 within several notable number theory sequences:
Timeline
Deep dive
How 3927 breaks down
3927 carries 16 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 2985, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101010111 supports bitwise reasoning, hexadecimal F57 aligns with computing notation, and the Roman numeral MMMCMXXVII keeps the encyclopedic tradition alive. These attributes make 3927 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3927 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3922–3932) to tune search ranges, and educators feature 3927 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 3927 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 3927
Is 3927 a prime number?
3927 is composite with 16 total factors and the prime factorization 3 × 7 × 11 × 17.
What is the prime factorization of 3927?
It breaks down as 3 × 7 × 11 × 17, multiplying the primes 3 × 7 × 11 × 17.
How is 3927 represented in binary and hexadecimal?
3927 converts to 111101010111 in binary and F57 in hexadecimal, which are helpful for computer science applications.
Is 3927 a perfect square, cube, or triangular number?
3927 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3927?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.