2937
2937 is a odd composite number that follows 2936 and precedes 2938. It is composed of 8 distinct factors: 1, 3, 11, 33, 89, 267, 979, 2937. Its prime factorization can be written as 3 × 11 × 89. 2937 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2937 is represented as 101101111001 in binary and B79 in hexadecimal. Historically, it is written as MMCMXXXVII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 11 × 89) reveals 3 prime building blocks.
Divisible by 2
2937 ends in 7, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 37 are not divisible by 4.
Divisible by 5
2937 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 21 is not a multiple of 9.
Divisible by 10
2937 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 2937 within several notable number theory sequences:
Timeline
Deep dive
How 2937 breaks down
2937 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1383, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101111001 supports bitwise reasoning, hexadecimal B79 aligns with computing notation, and the Roman numeral MMCMXXXVII keeps the encyclopedic tradition alive. These attributes make 2937 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2937 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2932–2942) to tune search ranges, and educators feature 2937 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 2937 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 2937
Is 2937 a prime number?
2937 is composite with 8 total factors and the prime factorization 3 × 11 × 89.
What is the prime factorization of 2937?
It breaks down as 3 × 11 × 89, multiplying the primes 3 × 11 × 89.
How is 2937 represented in binary and hexadecimal?
2937 converts to 101101111001 in binary and B79 in hexadecimal, which are helpful for computer science applications.
Is 2937 a perfect square, cube, or triangular number?
2937 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2937?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.