3828
3828 is a even composite number that follows 3827 and precedes 3829. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828. Its prime factorization can be written as 2^2 × 3 × 11 × 29. 3828 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3828 is represented as 111011110100 in binary and EF4 in hexadecimal. Historically, it is written as MMMDCCCXXVIII in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 11 × 29) reveals 5 prime building blocks.
Divisible by 2
3828 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
3828 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
3828 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Abundant classification and digit analytics place 3828 within several notable number theory sequences:
Timeline
Deep dive
How 3828 breaks down
3828 carries 24 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 6252, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011110100 supports bitwise reasoning, hexadecimal EF4 aligns with computing notation, and the Roman numeral MMMDCCCXXVIII keeps the encyclopedic tradition alive. These attributes make 3828 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3828 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3823–3833) to tune search ranges, and educators feature 3828 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 3828 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 3828
Is 3828 a prime number?
3828 is composite with 24 total factors and the prime factorization 2^2 × 3 × 11 × 29.
What is the prime factorization of 3828?
It breaks down as 2^2 × 3 × 11 × 29, multiplying the primes 2 × 2 × 3 × 11 × 29.
How is 3828 represented in binary and hexadecimal?
3828 converts to 111011110100 in binary and EF4 in hexadecimal, which are helpful for computer science applications.
Is 3828 a perfect square, cube, or triangular number?
3828 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 3828?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.