96
96 is a even composite number that follows 95 and precedes 97. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. Its prime factorization can be written as 2^5 × 3. 96 is classified as a abundant number based on the sum of its proper divisors. In computer science, 96 is represented as 1100000 in binary and 60 in hexadecimal. Historically, it is written as XCVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 3) reveals 6 prime building blocks.
Divisible by 2
96 ends in 6, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
96 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 15 is not a multiple of 9.
Divisible by 10
96 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 96 within several notable number theory sequences:
Timeline
Deep dive
How 96 breaks down
96 carries 12 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 156, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100000 supports bitwise reasoning, hexadecimal 60 aligns with computing notation, and the Roman numeral XCVI keeps the encyclopedic tradition alive. These attributes make 96 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 96 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (91–101) to tune search ranges, and educators feature 96 in worksheets about factor trees. Its binary footprint of length 7 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 96 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 96
Is 96 a prime number?
96 is composite with 12 total factors and the prime factorization 2^5 × 3.
What is the prime factorization of 96?
It breaks down as 2^5 × 3, multiplying the primes 2 × 2 × 2 × 2 × 2 × 3.
How is 96 represented in binary and hexadecimal?
96 converts to 1100000 in binary and 60 in hexadecimal, which are helpful for computer science applications.
Is 96 a perfect square, cube, or triangular number?
96 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 96?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.