2946
2946 is a even composite number that follows 2945 and precedes 2947. It is composed of 8 distinct factors: 1, 2, 3, 6, 491, 982, 1473, 2946. Its prime factorization can be written as 2 × 3 × 491. 2946 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2946 is represented as 101110000010 in binary and B82 in hexadecimal. Historically, it is written as MMCMXLVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 491) reveals 3 prime building blocks.
Divisible by 2
2946 ends in 6, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 46 are not divisible by 4.
Divisible by 5
2946 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 21 is not a multiple of 9.
Divisible by 10
2946 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Abundant classification and digit analytics place 2946 within several notable number theory sequences:
Timeline
Deep dive
How 2946 breaks down
2946 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 2958, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110000010 supports bitwise reasoning, hexadecimal B82 aligns with computing notation, and the Roman numeral MMCMXLVI keeps the encyclopedic tradition alive. These attributes make 2946 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2946 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2941–2951) to tune search ranges, and educators feature 2946 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 2946 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 2946
Is 2946 a prime number?
2946 is composite with 8 total factors and the prime factorization 2 × 3 × 491.
What is the prime factorization of 2946?
It breaks down as 2 × 3 × 491, multiplying the primes 2 × 3 × 491.
How is 2946 represented in binary and hexadecimal?
2946 converts to 101110000010 in binary and B82 in hexadecimal, which are helpful for computer science applications.
Is 2946 a perfect square, cube, or triangular number?
2946 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2946?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.