4211
4211 is a odd prime number that follows 4210 and precedes 4212. As a prime number, 4211 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4211. 4211 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4211 is represented as 1000001110011 in binary and 1073 in hexadecimal.
Factor Analysis
2 FactorsProperties
4211 is prime, so its only factors are 1 and 4211.
Divisible by 2
4211 ends in 1, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 11 are not divisible by 4.
Divisible by 5
4211 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 8 is not a multiple of 9.
Divisible by 10
4211 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 4211 within several notable number theory sequences:
Timeline
Deep dive
How 4211 breaks down
4211 carries 2 distinct factors and a digit signature of 8 (8 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 1000001110011 supports bitwise reasoning, hexadecimal 1073 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4211 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4211 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4206–4216) to tune search ranges, and educators feature 4211 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 4211 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 4211
Is 4211 a prime number?
4211 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4211?
4211 is already prime, so the factorization is simply 4211.
How is 4211 represented in binary and hexadecimal?
4211 converts to 1000001110011 in binary and 1073 in hexadecimal, which are helpful for computer science applications.
Is 4211 a perfect square, cube, or triangular number?
4211 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4211?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.