4194
4194 is a even composite number that follows 4193 and precedes 4195. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097, 4194. Its prime factorization can be written as 2 × 3^2 × 233. 4194 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4194 is represented as 1000001100010 in binary and 1062 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 233) reveals 4 prime building blocks.
Divisible by 2
4194 ends in 4, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
4194 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
4194 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Abundant classification and digit analytics place 4194 within several notable number theory sequences:
Timeline
Deep dive
How 4194 breaks down
4194 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 4932, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001100010 supports bitwise reasoning, hexadecimal 1062 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4194 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4194 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4189–4199) to tune search ranges, and educators feature 4194 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 4194 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 4194
Is 4194 a prime number?
4194 is composite with 12 total factors and the prime factorization 2 × 3^2 × 233.
What is the prime factorization of 4194?
It breaks down as 2 × 3^2 × 233, multiplying the primes 2 × 3 × 3 × 233.
How is 4194 represented in binary and hexadecimal?
4194 converts to 1000001100010 in binary and 1062 in hexadecimal, which are helpful for computer science applications.
Is 4194 a perfect square, cube, or triangular number?
4194 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4194?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.