2940
2940 is a even composite number that follows 2939 and precedes 2941. It is composed of 36 distinct factors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940. Its prime factorization can be written as 2^2 × 3 × 5 × 7^2. 2940 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2940 is represented as 101101111100 in binary and B7C in hexadecimal. Historically, it is written as MMCMXL in Roman numerals.
Factor Analysis
36 FactorsProperties
The prime factorization (2^2 × 3 × 5 × 7^2) reveals 6 prime building blocks.
Divisible by 2
2940 ends in 0, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
2940 ends in 0, so it is divisible by 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 15 is not a multiple of 9.
Divisible by 10
2940 ends in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 2940 within several notable number theory sequences:
Timeline
Deep dive
How 2940 breaks down
2940 carries 36 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 6636, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101111100 supports bitwise reasoning, hexadecimal B7C aligns with computing notation, and the Roman numeral MMCMXL keeps the encyclopedic tradition alive. These attributes make 2940 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2940 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2935–2945) to tune search ranges, and educators feature 2940 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 2940 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 2940
Is 2940 a prime number?
2940 is composite with 36 total factors and the prime factorization 2^2 × 3 × 5 × 7^2.
What is the prime factorization of 2940?
It breaks down as 2^2 × 3 × 5 × 7^2, multiplying the primes 2 × 2 × 3 × 5 × 7 × 7.
How is 2940 represented in binary and hexadecimal?
2940 converts to 101101111100 in binary and B7C in hexadecimal, which are helpful for computer science applications.
Is 2940 a perfect square, cube, or triangular number?
2940 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2940?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.