4730
4730 is a even composite number that follows 4729 and precedes 4731. It is composed of 16 distinct factors: 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730. Its prime factorization can be written as 2 × 5 × 11 × 43. 4730 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4730 is represented as 1001001111010 in binary and 127A in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 11 × 43) reveals 4 prime building blocks.
Divisible by 2
4730 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 30 are not divisible by 4.
Divisible by 5
4730 ends in 0, so it is divisible by 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
4730 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 4730 within several notable number theory sequences:
Timeline
Deep dive
How 4730 breaks down
4730 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 4774, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001111010 supports bitwise reasoning, hexadecimal 127A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4730 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4730 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4725–4735) to tune search ranges, and educators feature 4730 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 4730 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 4730
Is 4730 a prime number?
4730 is composite with 16 total factors and the prime factorization 2 × 5 × 11 × 43.
What is the prime factorization of 4730?
It breaks down as 2 × 5 × 11 × 43, multiplying the primes 2 × 5 × 11 × 43.
How is 4730 represented in binary and hexadecimal?
4730 converts to 1001001111010 in binary and 127A in hexadecimal, which are helpful for computer science applications.
Is 4730 a perfect square, cube, or triangular number?
4730 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4730?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.