The number 96000
96000 is a composite number with 72 divisors. Its prime factorisation is × 3 × . Divisors (72): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32 … 96000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96000: a Harshad number: divisible by its digit sum 15.
- 2
96000 is composite. Its prime factorisation is
- 3
The divisors add up to 318864; without 96000 itself that is 222864, so 96000 is abundant (222864 is more than 96000). Euler's totient φ(96000) = 25600 numbers up to 96000 share no factor with it.
- 4
The digits of 96000 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 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96000 = 2^{8} \times 3 \times 5^{3} \]96000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 318864 |
| Euler totient φ(n) | 25600 |
| Square | 9216000000 |
| Cube | 884736000000000 |
| Square root | 309.838668 (= 80√15) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.6 × |
96000 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand |
| Binary (base 2) | 10111011100000000 |
| Octal (base 8) | 273400 |
| Hexadecimal (base 16) | 17700 |
| Base 3 | 11212200120 |
| As time | 96000 seconds = 26 h 40 min 0 s |
Is 96000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96000 ÷ 2 = 48000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96000 ÷ 3 = 32000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96000 ÷ 4 = 24000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (96000 ÷ 5 = 19200) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (96000 ÷ 6 = 16000) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (96000 ÷ 8 = 12000) | 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 | Yes (96000 ÷ 10 = 9600) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (96000 ÷ 12 = 8000) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96000 a prime number?
No. 96000 = × 3 × , so it is divisible by 2.
What are the factors of 96000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 125, 128, 150, 160, 192, 200, 240, 250, 256, 300, 320, 375, 384, 400, 480, 500, 600, 640, 750, 768, 800, 960, 1000, 1200, 1280, 1500, 1600, 1920, 2000, 2400, 3000, 3200, 3840, 4000, 4800, 6000, 6400, 8000, 9600, 12000, 16000, 19200, 24000, 32000, 48000, 96000.
What is 96000 in binary?
10111011100000000 (hexadecimal 17700, octal 273400).
What is the square root of 96000?
About 309.8387, exactly 80√15.
Is 96000 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 96000?
96000 is a Harshad number: divisible by its digit sum 15.