3676
3676 is a even composite number that follows 3675 and precedes 3677. It is composed of 6 distinct factors: 1, 2, 4, 919, 1838, 3676. Its prime factorization can be written as 2^2 × 919. 3676 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3676 is represented as 111001011100 in binary and E5C in hexadecimal. Historically, it is written as MMMDCLXXVI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 919) reveals 3 prime building blocks.
Divisible by 2
3676 ends in 6, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
3676 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 22 is not a multiple of 9.
Divisible by 10
3676 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 3676 within several notable number theory sequences:
Timeline
Deep dive
How 3676 breaks down
3676 carries 6 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 2764, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001011100 supports bitwise reasoning, hexadecimal E5C aligns with computing notation, and the Roman numeral MMMDCLXXVI keeps the encyclopedic tradition alive. These attributes make 3676 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3676 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3671–3681) to tune search ranges, and educators feature 3676 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 3676 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 3676
Is 3676 a prime number?
3676 is composite with 6 total factors and the prime factorization 2^2 × 919.
What is the prime factorization of 3676?
It breaks down as 2^2 × 919, multiplying the primes 2 × 2 × 919.
How is 3676 represented in binary and hexadecimal?
3676 converts to 111001011100 in binary and E5C in hexadecimal, which are helpful for computer science applications.
Is 3676 a perfect square, cube, or triangular number?
3676 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3676?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.