4704
4704 is a even composite number that follows 4703 and precedes 4705. It is composed of 36 distinct factors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704. Its prime factorization can be written as 2^5 × 3 × 7^2. 4704 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4704 is represented as 1001001100000 in binary and 1260 in hexadecimal.
Factor Analysis
36 FactorsProperties
The prime factorization (2^5 × 3 × 7^2) reveals 8 prime building blocks.
Divisible by 2
4704 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
4704 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
4704 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 4704 within several notable number theory sequences:
Timeline
Deep dive
How 4704 breaks down
4704 carries 36 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 9660, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001100000 supports bitwise reasoning, hexadecimal 1260 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4704 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4704 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4699–4709) to tune search ranges, and educators feature 4704 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, Abundant numbers) help historians, numerologists, and trivia writers tie 4704 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 4704
Is 4704 a prime number?
4704 is composite with 36 total factors and the prime factorization 2^5 × 3 × 7^2.
What is the prime factorization of 4704?
It breaks down as 2^5 × 3 × 7^2, multiplying the primes 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7.
How is 4704 represented in binary and hexadecimal?
4704 converts to 1001001100000 in binary and 1260 in hexadecimal, which are helpful for computer science applications.
Is 4704 a perfect square, cube, or triangular number?
4704 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4704?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.