3821
3821 is a odd prime number that follows 3820 and precedes 3822. As a prime number, 3821 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3821. 3821 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3821 is represented as 111011101101 in binary and EED in hexadecimal. Historically, it is written as MMMDCCCXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
3821 is prime, so its only factors are 1 and 3821.
Divisible by 2
3821 ends in 1, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
3821 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 14 is not a multiple of 9.
Divisible by 10
3821 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 3821 within several notable number theory sequences:
Timeline
Deep dive
How 3821 breaks down
3821 carries 2 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011101101 supports bitwise reasoning, hexadecimal EED aligns with computing notation, and the Roman numeral MMMDCCCXXI keeps the encyclopedic tradition alive. These attributes make 3821 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3821 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3816–3826) to tune search ranges, and educators feature 3821 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3821 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 3821
Is 3821 a prime number?
3821 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3821?
3821 is already prime, so the factorization is simply 3821.
How is 3821 represented in binary and hexadecimal?
3821 converts to 111011101101 in binary and EED in hexadecimal, which are helpful for computer science applications.
Is 3821 a perfect square, cube, or triangular number?
3821 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3821?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.