604
604 is a even composite number that follows 603 and precedes 605. It is composed of 6 distinct factors: 1, 2, 4, 151, 302, 604. Its prime factorization can be written as 2^2 × 151. 604 is classified as a deficient number based on the sum of its proper divisors. In computer science, 604 is represented as 1001011100 in binary and 25C in hexadecimal. Historically, it is written as DCIV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 151) reveals 3 prime building blocks.
Divisible by 2
604 ends in 4, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
604 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 10 is not a multiple of 9.
Divisible by 10
604 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 604 within several notable number theory sequences:
Timeline
Deep dive
How 604 breaks down
604 carries 6 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 460, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001011100 supports bitwise reasoning, hexadecimal 25C aligns with computing notation, and the Roman numeral DCIV keeps the encyclopedic tradition alive. These attributes make 604 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 604 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (599–609) to tune search ranges, and educators feature 604 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, Deficient numbers) help historians, numerologists, and trivia writers tie 604 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 604
Is 604 a prime number?
604 is composite with 6 total factors and the prime factorization 2^2 × 151.
What is the prime factorization of 604?
It breaks down as 2^2 × 151, multiplying the primes 2 × 2 × 151.
How is 604 represented in binary and hexadecimal?
604 converts to 1001011100 in binary and 25C in hexadecimal, which are helpful for computer science applications.
Is 604 a perfect square, cube, or triangular number?
604 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 604?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.