The number 4320
4320 is a composite number with 48 divisors. Its prime factorisation is × × 5. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27 … 4320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4320: a Harshad number: divisible by its digit sum 9.
- 2
4320 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 4320 itself that is 10800, so 4320 is abundant (10800 is more than 4320). Euler's totient φ(4320) = 1152 numbers up to 4320 share no factor with it.
- 4
The digits of 4320 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4320 = 2^{5} \times 3^{3} \times 5 \]4320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 1152 |
| Square | 18662400 |
| Cube | 80621568000 |
| Square root | 65.726707 (= 12√30) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.32 × |
4320 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and twenty |
| Binary (base 2) | 1000011100000 |
| Octal (base 8) | 10340 |
| Hexadecimal (base 16) | 10E0 |
| Base 3 | 12221000 |
| As time | 4320 seconds = 1 h 12 min 0 s |
Is 4320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4320 ÷ 2 = 2160) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4320 ÷ 3 = 1440) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4320 ÷ 4 = 1080) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4320 ÷ 5 = 864) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4320 ÷ 6 = 720) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (4320 ÷ 8 = 540) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4320 ÷ 9 = 480) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4320 ÷ 10 = 432) | 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 (4320 ÷ 12 = 360) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4320 a prime number?
No. 4320 = × × 5, so it is divisible by 2.
What are the factors of 4320?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320.
What is 4320 in binary?
1000011100000 (hexadecimal 10E0, octal 10340).
What is the square root of 4320?
About 65.7267, exactly 12√30.
Is 4320 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4320?
4320 is a Harshad number: divisible by its digit sum 9.