3876
3876 is a even composite number that follows 3875 and precedes 3877. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876. Its prime factorization can be written as 2^2 × 3 × 17 × 19. 3876 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3876 is represented as 111100100100 in binary and F24 in hexadecimal. Historically, it is written as MMMDCCCLXXVI in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 17 × 19) reveals 5 prime building blocks.
Divisible by 2
3876 ends in 6, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
3876 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
3876 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Abundant classification and digit analytics place 3876 within several notable number theory sequences:
Timeline
Deep dive
How 3876 breaks down
3876 carries 24 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 6204, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100100100 supports bitwise reasoning, hexadecimal F24 aligns with computing notation, and the Roman numeral MMMDCCCLXXVI keeps the encyclopedic tradition alive. These attributes make 3876 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3876 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3871–3881) to tune search ranges, and educators feature 3876 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 3876 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 3876
Is 3876 a prime number?
3876 is composite with 24 total factors and the prime factorization 2^2 × 3 × 17 × 19.
What is the prime factorization of 3876?
It breaks down as 2^2 × 3 × 17 × 19, multiplying the primes 2 × 2 × 3 × 17 × 19.
How is 3876 represented in binary and hexadecimal?
3876 converts to 111100100100 in binary and F24 in hexadecimal, which are helpful for computer science applications.
Is 3876 a perfect square, cube, or triangular number?
3876 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3876?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.