4190
4190 is a even composite number that follows 4189 and precedes 4191. It is composed of 8 distinct factors: 1, 2, 5, 10, 419, 838, 2095, 4190. Its prime factorization can be written as 2 × 5 × 419. 4190 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4190 is represented as 1000001011110 in binary and 105E in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 419) reveals 3 prime building blocks.
Divisible by 2
4190 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
4190 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 14 is not a multiple of 9.
Divisible by 10
4190 ends in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Deficient classification and digit analytics place 4190 within several notable number theory sequences:
Timeline
Deep dive
How 4190 breaks down
4190 carries 8 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 3370, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001011110 supports bitwise reasoning, hexadecimal 105E aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4190 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4190 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4185–4195) to tune search ranges, and educators feature 4190 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 4190 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 4190
Is 4190 a prime number?
4190 is composite with 8 total factors and the prime factorization 2 × 5 × 419.
What is the prime factorization of 4190?
It breaks down as 2 × 5 × 419, multiplying the primes 2 × 5 × 419.
How is 4190 represented in binary and hexadecimal?
4190 converts to 1000001011110 in binary and 105E in hexadecimal, which are helpful for computer science applications.
Is 4190 a perfect square, cube, or triangular number?
4190 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4190?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.