2176
2176 is a even composite number that follows 2175 and precedes 2177. It is composed of 16 distinct factors: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176. Its prime factorization can be written as 2^7 × 17. 2176 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2176 is represented as 100010000000 in binary and 880 in hexadecimal. Historically, it is written as MMCLXXVI in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^7 × 17) reveals 8 prime building blocks.
Divisible by 2
2176 ends in 6, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
2176 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 16 is not a multiple of 9.
Divisible by 10
2176 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 2176 within several notable number theory sequences:
Timeline
Deep dive
How 2176 breaks down
2176 carries 16 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 2414, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010000000 supports bitwise reasoning, hexadecimal 880 aligns with computing notation, and the Roman numeral MMCLXXVI keeps the encyclopedic tradition alive. These attributes make 2176 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2176 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2171–2181) to tune search ranges, and educators feature 2176 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 2176 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 2176
Is 2176 a prime number?
2176 is composite with 16 total factors and the prime factorization 2^7 × 17.
What is the prime factorization of 2176?
It breaks down as 2^7 × 17, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 17.
How is 2176 represented in binary and hexadecimal?
2176 converts to 100010000000 in binary and 880 in hexadecimal, which are helpful for computer science applications.
Is 2176 a perfect square, cube, or triangular number?
2176 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2176?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.