4446
4446 is a even composite number that follows 4445 and precedes 4447. It is composed of 24 distinct factors: 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446. Its prime factorization can be written as 2 × 3^2 × 13 × 19. 4446 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4446 is represented as 1000101011110 in binary and 115E in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3^2 × 13 × 19) reveals 5 prime building blocks.
Divisible by 2
4446 ends in 6, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 46 are not divisible by 4.
Divisible by 5
4446 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
4446 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 4446 within several notable number theory sequences:
Timeline
Deep dive
How 4446 breaks down
4446 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 6474, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000101011110 supports bitwise reasoning, hexadecimal 115E aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4446 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4446 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4441–4451) to tune search ranges, and educators feature 4446 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, Abundant numbers) help historians, numerologists, and trivia writers tie 4446 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 4446
Is 4446 a prime number?
4446 is composite with 24 total factors and the prime factorization 2 × 3^2 × 13 × 19.
What is the prime factorization of 4446?
It breaks down as 2 × 3^2 × 13 × 19, multiplying the primes 2 × 3 × 3 × 13 × 19.
How is 4446 represented in binary and hexadecimal?
4446 converts to 1000101011110 in binary and 115E in hexadecimal, which are helpful for computer science applications.
Is 4446 a perfect square, cube, or triangular number?
4446 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4446?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.