2136
2136 is a even composite number that follows 2135 and precedes 2137. It is composed of 16 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136. Its prime factorization can be written as 2^3 × 3 × 89. 2136 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2136 is represented as 100001011000 in binary and 858 in hexadecimal. Historically, it is written as MMCXXXVI in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 3 × 89) reveals 5 prime building blocks.
Divisible by 2
2136 ends in 6, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
2136 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 12 is not a multiple of 9.
Divisible by 10
2136 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 2136 within several notable number theory sequences:
Timeline
Deep dive
How 2136 breaks down
2136 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 3264, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001011000 supports bitwise reasoning, hexadecimal 858 aligns with computing notation, and the Roman numeral MMCXXXVI keeps the encyclopedic tradition alive. These attributes make 2136 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2136 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2131–2141) to tune search ranges, and educators feature 2136 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 2136 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 2136
Is 2136 a prime number?
2136 is composite with 16 total factors and the prime factorization 2^3 × 3 × 89.
What is the prime factorization of 2136?
It breaks down as 2^3 × 3 × 89, multiplying the primes 2 × 2 × 2 × 3 × 89.
How is 2136 represented in binary and hexadecimal?
2136 converts to 100001011000 in binary and 858 in hexadecimal, which are helpful for computer science applications.
Is 2136 a perfect square, cube, or triangular number?
2136 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2136?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.