4401
4401 is a odd composite number that follows 4400 and precedes 4402. It is composed of 8 distinct factors: 1, 3, 9, 27, 163, 489, 1467, 4401. Its prime factorization can be written as 3^3 × 163. 4401 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4401 is represented as 1000100110001 in binary and 1131 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3^3 × 163) reveals 4 prime building blocks.
Divisible by 2
4401 ends in 1, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
4401 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 9 is a multiple of 9.
Divisible by 10
4401 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 4401 within several notable number theory sequences:
Timeline
Deep dive
How 4401 breaks down
4401 carries 8 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2159, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100110001 supports bitwise reasoning, hexadecimal 1131 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4401 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4401 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4396–4406) to tune search ranges, and educators feature 4401 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 4401 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 4401
Is 4401 a prime number?
4401 is composite with 8 total factors and the prime factorization 3^3 × 163.
What is the prime factorization of 4401?
It breaks down as 3^3 × 163, multiplying the primes 3 × 3 × 3 × 163.
How is 4401 represented in binary and hexadecimal?
4401 converts to 1000100110001 in binary and 1131 in hexadecimal, which are helpful for computer science applications.
Is 4401 a perfect square, cube, or triangular number?
4401 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4401?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.