3926
3926 is a even composite number that follows 3925 and precedes 3927. It is composed of 8 distinct factors: 1, 2, 13, 26, 151, 302, 1963, 3926. Its prime factorization can be written as 2 × 13 × 151. 3926 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3926 is represented as 111101010110 in binary and F56 in hexadecimal. Historically, it is written as MMMCMXXVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 13 × 151) reveals 3 prime building blocks.
Divisible by 2
3926 ends in 6, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 26 are not divisible by 4.
Divisible by 5
3926 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 20 is not a multiple of 9.
Divisible by 10
3926 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 3926 within several notable number theory sequences:
Timeline
Deep dive
How 3926 breaks down
3926 carries 8 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 2458, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101010110 supports bitwise reasoning, hexadecimal F56 aligns with computing notation, and the Roman numeral MMMCMXXVI keeps the encyclopedic tradition alive. These attributes make 3926 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3926 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3921–3931) to tune search ranges, and educators feature 3926 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 3926 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 3926
Is 3926 a prime number?
3926 is composite with 8 total factors and the prime factorization 2 × 13 × 151.
What is the prime factorization of 3926?
It breaks down as 2 × 13 × 151, multiplying the primes 2 × 13 × 151.
How is 3926 represented in binary and hexadecimal?
3926 converts to 111101010110 in binary and F56 in hexadecimal, which are helpful for computer science applications.
Is 3926 a perfect square, cube, or triangular number?
3926 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3926?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.