7604
7604 is a even composite number that follows 7603 and precedes 7605. It is composed of 6 distinct factors: 1, 2, 4, 1901, 3802, 7604. Its prime factorization can be written as 2^2 × 1901. 7604 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7604 is represented as 1110110110100 in binary and 1DB4 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 1901) reveals 3 prime building blocks.
Divisible by 2
7604 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
7604 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
7604 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 7604 within several notable number theory sequences:
Timeline
Deep dive
How 7604 breaks down
7604 carries 6 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 5710, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110110110100 supports bitwise reasoning, hexadecimal 1DB4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7604 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7604 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7599–7609) to tune search ranges, and educators feature 7604 in worksheets about factor trees. Its binary footprint of length 13 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 7604 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 7604
Is 7604 a prime number?
7604 is composite with 6 total factors and the prime factorization 2^2 × 1901.
What is the prime factorization of 7604?
It breaks down as 2^2 × 1901, multiplying the primes 2 × 2 × 1901.
How is 7604 represented in binary and hexadecimal?
7604 converts to 1110110110100 in binary and 1DB4 in hexadecimal, which are helpful for computer science applications.
Is 7604 a perfect square, cube, or triangular number?
7604 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7604?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.