4770
4770 is a even composite number that follows 4769 and precedes 4771. It is composed of 24 distinct factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770. Its prime factorization can be written as 2 × 3^2 × 5 × 53. 4770 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4770 is represented as 1001010100010 in binary and 12A2 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3^2 × 5 × 53) reveals 5 prime building blocks.
Divisible by 2
4770 ends in 0, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
4770 ends in 0, so it is divisible by 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 18 is a multiple of 9.
Divisible by 10
4770 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 4770 within several notable number theory sequences:
Timeline
Deep dive
How 4770 breaks down
4770 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 7866, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001010100010 supports bitwise reasoning, hexadecimal 12A2 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4770 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4770 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4765–4775) to tune search ranges, and educators feature 4770 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 4770 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 4770
Is 4770 a prime number?
4770 is composite with 24 total factors and the prime factorization 2 × 3^2 × 5 × 53.
What is the prime factorization of 4770?
It breaks down as 2 × 3^2 × 5 × 53, multiplying the primes 2 × 3 × 3 × 5 × 53.
How is 4770 represented in binary and hexadecimal?
4770 converts to 1001010100010 in binary and 12A2 in hexadecimal, which are helpful for computer science applications.
Is 4770 a perfect square, cube, or triangular number?
4770 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4770?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.