4791
4791 is a odd composite number that follows 4790 and precedes 4792. It is composed of 4 distinct factors: 1, 3, 1597, 4791. Its prime factorization can be written as 3 × 1597. 4791 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4791 is represented as 1001010110111 in binary and 12B7 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 1597) reveals 2 prime building blocks.
Divisible by 2
4791 ends in 1, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
4791 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 21 is not a multiple of 9.
Divisible by 10
4791 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 4791 within several notable number theory sequences:
Timeline
Deep dive
How 4791 breaks down
4791 carries 4 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1601, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001010110111 supports bitwise reasoning, hexadecimal 12B7 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4791 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4791 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4786–4796) to tune search ranges, and educators feature 4791 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 4791 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 4791
Is 4791 a prime number?
4791 is composite with 4 total factors and the prime factorization 3 × 1597.
What is the prime factorization of 4791?
It breaks down as 3 × 1597, multiplying the primes 3 × 1597.
How is 4791 represented in binary and hexadecimal?
4791 converts to 1001010110111 in binary and 12B7 in hexadecimal, which are helpful for computer science applications.
Is 4791 a perfect square, cube, or triangular number?
4791 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4791?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.