3879
3879 is a odd composite number that follows 3878 and precedes 3880. It is composed of 6 distinct factors: 1, 3, 9, 431, 1293, 3879. Its prime factorization can be written as 3^2 × 431. 3879 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3879 is represented as 111100100111 in binary and F27 in hexadecimal. Historically, it is written as MMMDCCCLXXIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 431) reveals 3 prime building blocks.
Divisible by 2
3879 ends in 9, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
3879 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 27 is a multiple of 9.
Divisible by 10
3879 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 3879 within several notable number theory sequences:
Timeline
Deep dive
How 3879 breaks down
3879 carries 6 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1737, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100100111 supports bitwise reasoning, hexadecimal F27 aligns with computing notation, and the Roman numeral MMMDCCCLXXIX keeps the encyclopedic tradition alive. These attributes make 3879 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3879 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3874–3884) to tune search ranges, and educators feature 3879 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 3879 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 3879
Is 3879 a prime number?
3879 is composite with 6 total factors and the prime factorization 3^2 × 431.
What is the prime factorization of 3879?
It breaks down as 3^2 × 431, multiplying the primes 3 × 3 × 431.
How is 3879 represented in binary and hexadecimal?
3879 converts to 111100100111 in binary and F27 in hexadecimal, which are helpful for computer science applications.
Is 3879 a perfect square, cube, or triangular number?
3879 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3879?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.