2107
2107 is a odd composite number that follows 2106 and precedes 2108. It is composed of 6 distinct factors: 1, 7, 43, 49, 301, 2107. Its prime factorization can be written as 7^2 × 43. 2107 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2107 is represented as 100000111011 in binary and 83B in hexadecimal. Historically, it is written as MMCVII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (7^2 × 43) reveals 3 prime building blocks.
Divisible by 2
2107 ends in 7, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
2107 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 10 is not a multiple of 9.
Divisible by 10
2107 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2107 within several notable number theory sequences:
Timeline
Deep dive
How 2107 breaks down
2107 carries 6 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 401, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100000111011 supports bitwise reasoning, hexadecimal 83B aligns with computing notation, and the Roman numeral MMCVII keeps the encyclopedic tradition alive. These attributes make 2107 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2107 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2102–2112) to tune search ranges, and educators feature 2107 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, Deficient numbers) help historians, numerologists, and trivia writers tie 2107 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 2107
Is 2107 a prime number?
2107 is composite with 6 total factors and the prime factorization 7^2 × 43.
What is the prime factorization of 2107?
It breaks down as 7^2 × 43, multiplying the primes 7 × 7 × 43.
How is 2107 represented in binary and hexadecimal?
2107 converts to 100000111011 in binary and 83B in hexadecimal, which are helpful for computer science applications.
Is 2107 a perfect square, cube, or triangular number?
2107 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2107?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.