960
960 is a even composite number that follows 959 and precedes 961. It is composed of 28 distinct factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. Its prime factorization can be written as 2^6 × 3 × 5. 960 is classified as a abundant number based on the sum of its proper divisors. In computer science, 960 is represented as 1111000000 in binary and 3C0 in hexadecimal. Historically, it is written as CMLX in Roman numerals.
Factor Analysis
28 FactorsProperties
The prime factorization (2^6 × 3 × 5) reveals 8 prime building blocks.
Divisible by 2
960 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 60 form a multiple of 4.
Divisible by 5
960 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
960 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 960 within several notable number theory sequences:
Timeline
Deep dive
How 960 breaks down
960 carries 28 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 2088, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111000000 supports bitwise reasoning, hexadecimal 3C0 aligns with computing notation, and the Roman numeral CMLX keeps the encyclopedic tradition alive. These attributes make 960 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 960 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (955–965) to tune search ranges, and educators feature 960 in worksheets about factor trees. Its binary footprint of length 10 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 960 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 960
Is 960 a prime number?
960 is composite with 28 total factors and the prime factorization 2^6 × 3 × 5.
What is the prime factorization of 960?
It breaks down as 2^6 × 3 × 5, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5.
How is 960 represented in binary and hexadecimal?
960 converts to 1111000000 in binary and 3C0 in hexadecimal, which are helpful for computer science applications.
Is 960 a perfect square, cube, or triangular number?
960 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 960?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.