4213
4213 is a odd composite number that follows 4212 and precedes 4214. It is composed of 4 distinct factors: 1, 11, 383, 4213. Its prime factorization can be written as 11 × 383. 4213 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4213 is represented as 1000001110101 in binary and 1075 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 383) reveals 2 prime building blocks.
Divisible by 2
4213 ends in 3, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
4213 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 10 is not a multiple of 9.
Divisible by 10
4213 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 4213 within several notable number theory sequences:
Timeline
Deep dive
How 4213 breaks down
4213 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 395, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001110101 supports bitwise reasoning, hexadecimal 1075 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4213 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4213 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4208–4218) to tune search ranges, and educators feature 4213 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 4213 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 4213
Is 4213 a prime number?
4213 is composite with 4 total factors and the prime factorization 11 × 383.
What is the prime factorization of 4213?
It breaks down as 11 × 383, multiplying the primes 11 × 383.
How is 4213 represented in binary and hexadecimal?
4213 converts to 1000001110101 in binary and 1075 in hexadecimal, which are helpful for computer science applications.
Is 4213 a perfect square, cube, or triangular number?
4213 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4213?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.