3976
3976 is a even composite number that follows 3975 and precedes 3977. It is composed of 16 distinct factors: 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976. Its prime factorization can be written as 2^3 × 7 × 71. 3976 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3976 is represented as 111110001000 in binary and F88 in hexadecimal. Historically, it is written as MMMCMLXXVI in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 7 × 71) reveals 5 prime building blocks.
Divisible by 2
3976 ends in 6, so it is even.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
3976 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 25 is not a multiple of 9.
Divisible by 10
3976 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 3976 within several notable number theory sequences:
Timeline
Deep dive
How 3976 breaks down
3976 carries 16 distinct factors and a digit signature of 25 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 4664, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110001000 supports bitwise reasoning, hexadecimal F88 aligns with computing notation, and the Roman numeral MMMCMLXXVI keeps the encyclopedic tradition alive. These attributes make 3976 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3976 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3971–3981) to tune search ranges, and educators feature 3976 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 3976 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 3976
Is 3976 a prime number?
3976 is composite with 16 total factors and the prime factorization 2^3 × 7 × 71.
What is the prime factorization of 3976?
It breaks down as 2^3 × 7 × 71, multiplying the primes 2 × 2 × 2 × 7 × 71.
How is 3976 represented in binary and hexadecimal?
3976 converts to 111110001000 in binary and F88 in hexadecimal, which are helpful for computer science applications.
Is 3976 a perfect square, cube, or triangular number?
3976 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3976?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.