2835
2835 is a odd composite number that follows 2834 and precedes 2836. It is composed of 20 distinct factors: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835. Its prime factorization can be written as 3^4 × 5 × 7. 2835 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2835 is represented as 101100010011 in binary and B13 in hexadecimal. Historically, it is written as MMDCCCXXXV in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (3^4 × 5 × 7) reveals 6 prime building blocks.
Divisible by 2
2835 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 35 are not divisible by 4.
Divisible by 5
2835 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
2835 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 2835 within several notable number theory sequences:
Timeline
Deep dive
How 2835 breaks down
2835 carries 20 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 2973, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100010011 supports bitwise reasoning, hexadecimal B13 aligns with computing notation, and the Roman numeral MMDCCCXXXV keeps the encyclopedic tradition alive. These attributes make 2835 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2835 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2830–2840) to tune search ranges, and educators feature 2835 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 2835 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 2835
Is 2835 a prime number?
2835 is composite with 20 total factors and the prime factorization 3^4 × 5 × 7.
What is the prime factorization of 2835?
It breaks down as 3^4 × 5 × 7, multiplying the primes 3 × 3 × 3 × 3 × 5 × 7.
How is 2835 represented in binary and hexadecimal?
2835 converts to 101100010011 in binary and B13 in hexadecimal, which are helpful for computer science applications.
Is 2835 a perfect square, cube, or triangular number?
2835 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2835?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.