4764
4764 is a even composite number that follows 4763 and precedes 4765. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764. Its prime factorization can be written as 2^2 × 3 × 397. 4764 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4764 is represented as 1001010011100 in binary and 129C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 397) reveals 4 prime building blocks.
Divisible by 2
4764 ends in 4, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
4764 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 21 is not a multiple of 9.
Divisible by 10
4764 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 4764 within several notable number theory sequences:
Timeline
Deep dive
How 4764 breaks down
4764 carries 12 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 6380, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001010011100 supports bitwise reasoning, hexadecimal 129C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4764 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4764 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4759–4769) to tune search ranges, and educators feature 4764 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 4764 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 4764
Is 4764 a prime number?
4764 is composite with 12 total factors and the prime factorization 2^2 × 3 × 397.
What is the prime factorization of 4764?
It breaks down as 2^2 × 3 × 397, multiplying the primes 2 × 2 × 3 × 397.
How is 4764 represented in binary and hexadecimal?
4764 converts to 1001010011100 in binary and 129C in hexadecimal, which are helpful for computer science applications.
Is 4764 a perfect square, cube, or triangular number?
4764 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4764?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.