4066
4066 is a even composite number that follows 4065 and precedes 4067. It is composed of 8 distinct factors: 1, 2, 19, 38, 107, 214, 2033, 4066. Its prime factorization can be written as 2 × 19 × 107. 4066 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4066 is represented as 111111100010 in binary and FE2 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 19 × 107) reveals 3 prime building blocks.
Divisible by 2
4066 ends in 6, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 66 are not divisible by 4.
Divisible by 5
4066 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 16 is not a multiple of 9.
Divisible by 10
4066 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 4066 within several notable number theory sequences:
Timeline
Deep dive
How 4066 breaks down
4066 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2414, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111100010 supports bitwise reasoning, hexadecimal FE2 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4066 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4066 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4061–4071) to tune search ranges, and educators feature 4066 in worksheets about factor trees. Its binary footprint of length 12 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 4066 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 4066
Is 4066 a prime number?
4066 is composite with 8 total factors and the prime factorization 2 × 19 × 107.
What is the prime factorization of 4066?
It breaks down as 2 × 19 × 107, multiplying the primes 2 × 19 × 107.
How is 4066 represented in binary and hexadecimal?
4066 converts to 111111100010 in binary and FE2 in hexadecimal, which are helpful for computer science applications.
Is 4066 a perfect square, cube, or triangular number?
4066 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4066?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.