3836
3836 is a even composite number that follows 3835 and precedes 3837. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836. Its prime factorization can be written as 2^2 × 7 × 137. 3836 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3836 is represented as 111011111100 in binary and EFC in hexadecimal. Historically, it is written as MMMDCCCXXXVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 137) reveals 4 prime building blocks.
Divisible by 2
3836 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 36 form a multiple of 4.
Divisible by 5
3836 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
3836 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Abundant classification and digit analytics place 3836 within several notable number theory sequences:
Timeline
Deep dive
How 3836 breaks down
3836 carries 12 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 3892, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011111100 supports bitwise reasoning, hexadecimal EFC aligns with computing notation, and the Roman numeral MMMDCCCXXXVI keeps the encyclopedic tradition alive. These attributes make 3836 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3836 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3831–3841) to tune search ranges, and educators feature 3836 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3836 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 3836
Is 3836 a prime number?
3836 is composite with 12 total factors and the prime factorization 2^2 × 7 × 137.
What is the prime factorization of 3836?
It breaks down as 2^2 × 7 × 137, multiplying the primes 2 × 2 × 7 × 137.
How is 3836 represented in binary and hexadecimal?
3836 converts to 111011111100 in binary and EFC in hexadecimal, which are helpful for computer science applications.
Is 3836 a perfect square, cube, or triangular number?
3836 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3836?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.