3608
3608 is a even composite number that follows 3607 and precedes 3609. It is composed of 16 distinct factors: 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608. Its prime factorization can be written as 2^3 × 11 × 41. 3608 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3608 is represented as 111000011000 in binary and E18 in hexadecimal. Historically, it is written as MMMDCVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 11 × 41) reveals 5 prime building blocks.
Divisible by 2
3608 ends in 8, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
3608 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 17 is not a multiple of 9.
Divisible by 10
3608 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Abundant classification and digit analytics place 3608 within several notable number theory sequences:
Timeline
Deep dive
How 3608 breaks down
3608 carries 16 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 3952, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111000011000 supports bitwise reasoning, hexadecimal E18 aligns with computing notation, and the Roman numeral MMMDCVIII keeps the encyclopedic tradition alive. These attributes make 3608 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3608 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3603–3613) to tune search ranges, and educators feature 3608 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 3608 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 3608
Is 3608 a prime number?
3608 is composite with 16 total factors and the prime factorization 2^3 × 11 × 41.
What is the prime factorization of 3608?
It breaks down as 2^3 × 11 × 41, multiplying the primes 2 × 2 × 2 × 11 × 41.
How is 3608 represented in binary and hexadecimal?
3608 converts to 111000011000 in binary and E18 in hexadecimal, which are helpful for computer science applications.
Is 3608 a perfect square, cube, or triangular number?
3608 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3608?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.