4192
4192 is a even composite number that follows 4191 and precedes 4193. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 32, 131, 262, 524, 1048, 2096, 4192. Its prime factorization can be written as 2^5 × 131. 4192 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4192 is represented as 1000001100000 in binary and 1060 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 131) reveals 6 prime building blocks.
Divisible by 2
4192 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
4192 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
4192 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 4192 within several notable number theory sequences:
Timeline
Deep dive
How 4192 breaks down
4192 carries 12 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 4124, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001100000 supports bitwise reasoning, hexadecimal 1060 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4192 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4192 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4187–4197) to tune search ranges, and educators feature 4192 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 4192 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 4192
Is 4192 a prime number?
4192 is composite with 12 total factors and the prime factorization 2^5 × 131.
What is the prime factorization of 4192?
It breaks down as 2^5 × 131, multiplying the primes 2 × 2 × 2 × 2 × 2 × 131.
How is 4192 represented in binary and hexadecimal?
4192 converts to 1000001100000 in binary and 1060 in hexadecimal, which are helpful for computer science applications.
Is 4192 a perfect square, cube, or triangular number?
4192 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4192?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.