3796
3796 is a even composite number that follows 3795 and precedes 3797. It is composed of 12 distinct factors: 1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796. Its prime factorization can be written as 2^2 × 13 × 73. 3796 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3796 is represented as 111011010100 in binary and ED4 in hexadecimal. Historically, it is written as MMMDCCXCVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 73) reveals 4 prime building blocks.
Divisible by 2
3796 ends in 6, so it is even.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
3796 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 25 is not a multiple of 9.
Divisible by 10
3796 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3796 within several notable number theory sequences:
Timeline
Deep dive
How 3796 breaks down
3796 carries 12 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 3456, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011010100 supports bitwise reasoning, hexadecimal ED4 aligns with computing notation, and the Roman numeral MMMDCCXCVI keeps the encyclopedic tradition alive. These attributes make 3796 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3796 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3791–3801) to tune search ranges, and educators feature 3796 in worksheets about factor trees. Its binary footprint of length 12 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 3796 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 3796
Is 3796 a prime number?
3796 is composite with 12 total factors and the prime factorization 2^2 × 13 × 73.
What is the prime factorization of 3796?
It breaks down as 2^2 × 13 × 73, multiplying the primes 2 × 2 × 13 × 73.
How is 3796 represented in binary and hexadecimal?
3796 converts to 111011010100 in binary and ED4 in hexadecimal, which are helpful for computer science applications.
Is 3796 a perfect square, cube, or triangular number?
3796 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3796?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.