4796
4796 is a even composite number that follows 4795 and precedes 4797. It is composed of 12 distinct factors: 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796. Its prime factorization can be written as 2^2 × 11 × 109. 4796 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4796 is represented as 1001010111100 in binary and 12BC in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 11 × 109) reveals 4 prime building blocks.
Divisible by 2
4796 ends in 6, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
4796 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 26 is not a multiple of 9.
Divisible by 10
4796 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 4796 within several notable number theory sequences:
Timeline
Deep dive
How 4796 breaks down
4796 carries 12 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 4444, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001010111100 supports bitwise reasoning, hexadecimal 12BC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4796 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4796 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4791–4801) to tune search ranges, and educators feature 4796 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 4796 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 4796
Is 4796 a prime number?
4796 is composite with 12 total factors and the prime factorization 2^2 × 11 × 109.
What is the prime factorization of 4796?
It breaks down as 2^2 × 11 × 109, multiplying the primes 2 × 2 × 11 × 109.
How is 4796 represented in binary and hexadecimal?
4796 converts to 1001010111100 in binary and 12BC in hexadecimal, which are helpful for computer science applications.
Is 4796 a perfect square, cube, or triangular number?
4796 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4796?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.