4199
4199 is a odd composite number that follows 4198 and precedes 4200. It is composed of 8 distinct factors: 1, 13, 17, 19, 221, 247, 323, 4199. Its prime factorization can be written as 13 × 17 × 19. 4199 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4199 is represented as 1000001100111 in binary and 1067 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (13 × 17 × 19) reveals 3 prime building blocks.
Divisible by 2
4199 ends in 9, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 99 are not divisible by 4.
Divisible by 5
4199 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 23 is not a multiple of 9.
Divisible by 10
4199 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 4199 within several notable number theory sequences:
Timeline
Deep dive
How 4199 breaks down
4199 carries 8 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 841, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001100111 supports bitwise reasoning, hexadecimal 1067 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4199 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4199 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4194–4204) to tune search ranges, and educators feature 4199 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 4199 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 4199
Is 4199 a prime number?
4199 is composite with 8 total factors and the prime factorization 13 × 17 × 19.
What is the prime factorization of 4199?
It breaks down as 13 × 17 × 19, multiplying the primes 13 × 17 × 19.
How is 4199 represented in binary and hexadecimal?
4199 converts to 1000001100111 in binary and 1067 in hexadecimal, which are helpful for computer science applications.
Is 4199 a perfect square, cube, or triangular number?
4199 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4199?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.