608
608 is a even composite number that follows 607 and precedes 609. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608. Its prime factorization can be written as 2^5 × 19. 608 is classified as a abundant number based on the sum of its proper divisors. In computer science, 608 is represented as 1001100000 in binary and 260 in hexadecimal. Historically, it is written as DCVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 19) reveals 6 prime building blocks.
Divisible by 2
608 ends in 8, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
608 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 14 is not a multiple of 9.
Divisible by 10
608 does not end in 0.
Divisible by 11
The alternating digit sum 14 is not a multiple of 11.
Abundant classification and digit analytics place 608 within several notable number theory sequences:
Timeline
Deep dive
How 608 breaks down
608 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 652, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001100000 supports bitwise reasoning, hexadecimal 260 aligns with computing notation, and the Roman numeral DCVIII keeps the encyclopedic tradition alive. These attributes make 608 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 608 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (603–613) to tune search ranges, and educators feature 608 in worksheets about factor trees. Its binary footprint of length 10 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 608 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 608
Is 608 a prime number?
608 is composite with 12 total factors and the prime factorization 2^5 × 19.
What is the prime factorization of 608?
It breaks down as 2^5 × 19, multiplying the primes 2 × 2 × 2 × 2 × 2 × 19.
How is 608 represented in binary and hexadecimal?
608 converts to 1001100000 in binary and 260 in hexadecimal, which are helpful for computer science applications.
Is 608 a perfect square, cube, or triangular number?
608 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 608?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.