4063
4063 is a odd composite number that follows 4062 and precedes 4064. It is composed of 4 distinct factors: 1, 17, 239, 4063. Its prime factorization can be written as 17 × 239. 4063 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4063 is represented as 111111011111 in binary and FDF in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 239) reveals 2 prime building blocks.
Divisible by 2
4063 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
4063 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 13 is not a multiple of 9.
Divisible by 10
4063 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 4063 within several notable number theory sequences:
Timeline
Deep dive
How 4063 breaks down
4063 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 257, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111011111 supports bitwise reasoning, hexadecimal FDF aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4063 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4063 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4058–4068) to tune search ranges, and educators feature 4063 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 4063 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 4063
Is 4063 a prime number?
4063 is composite with 4 total factors and the prime factorization 17 × 239.
What is the prime factorization of 4063?
It breaks down as 17 × 239, multiplying the primes 17 × 239.
How is 4063 represented in binary and hexadecimal?
4063 converts to 111111011111 in binary and FDF in hexadecimal, which are helpful for computer science applications.
Is 4063 a perfect square, cube, or triangular number?
4063 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4063?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.