4828
4828 is a even composite number that follows 4827 and precedes 4829. It is composed of 12 distinct factors: 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828. Its prime factorization can be written as 2^2 × 17 × 71. 4828 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4828 is represented as 1001011011100 in binary and 12DC in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 17 × 71) reveals 4 prime building blocks.
Divisible by 2
4828 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
4828 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 22 is not a multiple of 9.
Divisible by 10
4828 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Deficient classification and digit analytics place 4828 within several notable number theory sequences:
Timeline
Deep dive
How 4828 breaks down
4828 carries 12 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 4244, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001011011100 supports bitwise reasoning, hexadecimal 12DC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4828 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4828 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4823–4833) to tune search ranges, and educators feature 4828 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, Deficient numbers) help historians, numerologists, and trivia writers tie 4828 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 4828
Is 4828 a prime number?
4828 is composite with 12 total factors and the prime factorization 2^2 × 17 × 71.
What is the prime factorization of 4828?
It breaks down as 2^2 × 17 × 71, multiplying the primes 2 × 2 × 17 × 71.
How is 4828 represented in binary and hexadecimal?
4828 converts to 1001011011100 in binary and 12DC in hexadecimal, which are helpful for computer science applications.
Is 4828 a perfect square, cube, or triangular number?
4828 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4828?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.