4788
4788 is a even composite number that follows 4787 and precedes 4789. It is composed of 36 distinct factors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788. Its prime factorization can be written as 2^2 × 3^2 × 7 × 19. 4788 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4788 is represented as 1001010110100 in binary and 12B4 in hexadecimal.
Factor Analysis
36 FactorsProperties
The prime factorization (2^2 × 3^2 × 7 × 19) reveals 6 prime building blocks.
Divisible by 2
4788 ends in 8, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
4788 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 27 is a multiple of 9.
Divisible by 10
4788 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 4788 within several notable number theory sequences:
Timeline
Deep dive
How 4788 breaks down
4788 carries 36 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 9772, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001010110100 supports bitwise reasoning, hexadecimal 12B4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4788 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4788 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4783–4793) to tune search ranges, and educators feature 4788 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 4788 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 4788
Is 4788 a prime number?
4788 is composite with 36 total factors and the prime factorization 2^2 × 3^2 × 7 × 19.
What is the prime factorization of 4788?
It breaks down as 2^2 × 3^2 × 7 × 19, multiplying the primes 2 × 2 × 3 × 3 × 7 × 19.
How is 4788 represented in binary and hexadecimal?
4788 converts to 1001010110100 in binary and 12B4 in hexadecimal, which are helpful for computer science applications.
Is 4788 a perfect square, cube, or triangular number?
4788 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4788?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.