3776
3776 is a even composite number that follows 3775 and precedes 3777. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776. Its prime factorization can be written as 2^6 × 59. 3776 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3776 is represented as 111011000000 in binary and EC0 in hexadecimal. Historically, it is written as MMMDCCLXXVI in Roman numerals.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 59) reveals 7 prime building blocks.
Divisible by 2
3776 ends in 6, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
3776 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 23 is not a multiple of 9.
Divisible by 10
3776 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 3776 within several notable number theory sequences:
Timeline
Deep dive
How 3776 breaks down
3776 carries 14 distinct factors and a digit signature of 23 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 3844, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011000000 supports bitwise reasoning, hexadecimal EC0 aligns with computing notation, and the Roman numeral MMMDCCLXXVI keeps the encyclopedic tradition alive. These attributes make 3776 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3776 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3771–3781) to tune search ranges, and educators feature 3776 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 3776 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 3776
Is 3776 a prime number?
3776 is composite with 14 total factors and the prime factorization 2^6 × 59.
What is the prime factorization of 3776?
It breaks down as 2^6 × 59, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 59.
How is 3776 represented in binary and hexadecimal?
3776 converts to 111011000000 in binary and EC0 in hexadecimal, which are helpful for computer science applications.
Is 3776 a perfect square, cube, or triangular number?
3776 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3776?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.