The number 96072
96072 is a composite number with 16 divisors. Its prime factorisation is × 3 × 4003. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 4003, 8006, 12009, 16012, 24018, 32024, 48036, 96072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96072: a Harshad number: divisible by its digit sum 24.
- 2
96072 is composite. Its prime factorisation is
- 3
The divisors add up to 240240; without 96072 itself that is 144168, so 96072 is abundant (144168 is more than 96072). Euler's totient φ(96072) = 32016 numbers up to 96072 share no factor with it.
- 4
The digits of 96072 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96072 = 2^{3} \times 3 \times 4003 \]96072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 240240 |
| Euler totient φ(n) | 32016 |
| Square | 9229829184 |
| Cube | 886728149365248 |
| Square root | 309.954835 (= 2√24018) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.6072 × |
96072 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand and seventy-two |
| Binary (base 2) | 10111011101001000 |
| Octal (base 8) | 273510 |
| Hexadecimal (base 16) | 17748 |
| Base 3 | 11212210020 |
| As time | 96072 seconds = 26 h 41 min 12 s |
Is 96072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96072 ÷ 2 = 48036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96072 ÷ 3 = 32024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96072 ÷ 4 = 24018) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (96072 ÷ 6 = 16012) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (96072 ÷ 8 = 12009) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (96072 ÷ 12 = 8006) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96072 a prime number?
No. 96072 = × 3 × 4003, so it is divisible by 2.
What are the factors of 96072?
1, 2, 3, 4, 6, 8, 12, 24, 4003, 8006, 12009, 16012, 24018, 32024, 48036, 96072.
What is 96072 in binary?
10111011101001000 (hexadecimal 17748, octal 273510).
What is the square root of 96072?
About 309.9548, exactly 2√24018.
Is 96072 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 96072?
96072 is a Harshad number: divisible by its digit sum 24.