The number 96
96 is a composite number with 12 divisors. Its prime factorisation is × 3. Divisors (12): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
96 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96 is composite. Its prime factorisation is
- 3
The divisors add up to 252; without 96 itself that is 156, so 96 is abundant (156 is more than 96). Euler's totient φ(96) = 32 numbers up to 96 share no factor with it.
- 4
The digits of 96 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 12 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96 = 2^{5} \times 3 \]96 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 252 |
| Euler totient φ(n) | 32 |
| Square | 9216 |
| Cube | 884736 |
| Square root | 9.797959 (= 4√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 12 |
| Scientific notation | 9.6 × |
96 in other forms
| Form | Value |
|---|---|
| In words | ninety-six |
| Roman numerals | XCVI |
| Binary (base 2) | 1100000 |
| Octal (base 8) | 140 |
| Hexadecimal (base 16) | 60 |
| Base 3 | 10120 |
| As time | 96 seconds = 1 min 36 s |
Is 96 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96 ÷ 2 = 48) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96 ÷ 3 = 32) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96 ÷ 4 = 24) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (96 ÷ 6 = 16) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (96 ÷ 8 = 12) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (96 ÷ 12 = 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96 a prime number?
No. 96 = × 3, so it is divisible by 2.
What are the factors of 96?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
What is 96 in binary?
1100000 (hexadecimal 60, octal 140).
What is the square root of 96?
About 9.7980, exactly 4√6.
What is 96 in Roman numerals?
XCVI.
Is 96 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 96?
It is a composite number with 12 divisors.