3636
3636 is a even composite number that follows 3635 and precedes 3637. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636. Its prime factorization can be written as 2^2 × 3^2 × 101. 3636 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3636 is represented as 111000110100 in binary and E34 in hexadecimal. Historically, it is written as MMMDCXXXVI in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 101) reveals 5 prime building blocks.
Divisible by 2
3636 ends in 6, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
3636 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
3636 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 3636 within several notable number theory sequences:
Timeline
Deep dive
How 3636 breaks down
3636 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 5646, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111000110100 supports bitwise reasoning, hexadecimal E34 aligns with computing notation, and the Roman numeral MMMDCXXXVI keeps the encyclopedic tradition alive. These attributes make 3636 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3636 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3631–3641) to tune search ranges, and educators feature 3636 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 3636 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 3636
Is 3636 a prime number?
3636 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 101.
What is the prime factorization of 3636?
It breaks down as 2^2 × 3^2 × 101, multiplying the primes 2 × 2 × 3 × 3 × 101.
How is 3636 represented in binary and hexadecimal?
3636 converts to 111000110100 in binary and E34 in hexadecimal, which are helpful for computer science applications.
Is 3636 a perfect square, cube, or triangular number?
3636 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3636?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.