4411
4411 is a odd composite number that follows 4410 and precedes 4412. It is composed of 4 distinct factors: 1, 11, 401, 4411. Its prime factorization can be written as 11 × 401. 4411 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4411 is represented as 1000100111011 in binary and 113B in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 401) reveals 2 prime building blocks.
Divisible by 2
4411 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 11 are not divisible by 4.
Divisible by 5
4411 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
4411 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 4411 within several notable number theory sequences:
Timeline
Deep dive
How 4411 breaks down
4411 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 413, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100111011 supports bitwise reasoning, hexadecimal 113B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4411 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4411 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4406–4416) to tune search ranges, and educators feature 4411 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 4411 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 4411
Is 4411 a prime number?
4411 is composite with 4 total factors and the prime factorization 11 × 401.
What is the prime factorization of 4411?
It breaks down as 11 × 401, multiplying the primes 11 × 401.
How is 4411 represented in binary and hexadecimal?
4411 converts to 1000100111011 in binary and 113B in hexadecimal, which are helpful for computer science applications.
Is 4411 a perfect square, cube, or triangular number?
4411 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4411?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.