2960
2960 is a even composite number that follows 2959 and precedes 2961. It is composed of 20 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960. Its prime factorization can be written as 2^4 × 5 × 37. 2960 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2960 is represented as 101110010000 in binary and B90 in hexadecimal. Historically, it is written as MMCMLX in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 5 × 37) reveals 6 prime building blocks.
Divisible by 2
2960 ends in 0, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 60 form a multiple of 4.
Divisible by 5
2960 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 17 is not a multiple of 9.
Divisible by 10
2960 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 2960 within several notable number theory sequences:
Timeline
Deep dive
How 2960 breaks down
2960 carries 20 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 4108, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110010000 supports bitwise reasoning, hexadecimal B90 aligns with computing notation, and the Roman numeral MMCMLX keeps the encyclopedic tradition alive. These attributes make 2960 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2960 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2955–2965) to tune search ranges, and educators feature 2960 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 2960 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 2960
Is 2960 a prime number?
2960 is composite with 20 total factors and the prime factorization 2^4 × 5 × 37.
What is the prime factorization of 2960?
It breaks down as 2^4 × 5 × 37, multiplying the primes 2 × 2 × 2 × 2 × 5 × 37.
How is 2960 represented in binary and hexadecimal?
2960 converts to 101110010000 in binary and B90 in hexadecimal, which are helpful for computer science applications.
Is 2960 a perfect square, cube, or triangular number?
2960 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2960?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.