The number 8730
8730 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 97. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485 … 8730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8730: a Harshad number: divisible by its digit sum 18.
- 2
8730 is composite. Its prime factorisation is
- 3
The divisors add up to 22932; without 8730 itself that is 14202, so 8730 is abundant (14202 is more than 8730). Euler's totient φ(8730) = 2304 numbers up to 8730 share no factor with it.
- 4
The digits of 8730 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8730 = 2 \times 3^{2} \times 5 \times 97 \]8730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22932 |
| Euler totient φ(n) | 2304 |
| Square | 76212900 |
| Cube | 665338617000 |
| Square root | 93.434469 (= 3√970) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.73 × |
8730 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and thirty |
| Binary (base 2) | 10001000011010 |
| Octal (base 8) | 21032 |
| Hexadecimal (base 16) | 221A |
| Base 3 | 102222100 |
| As time | 8730 seconds = 2 h 25 min 30 s |
Is 8730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8730 ÷ 2 = 4365) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8730 ÷ 3 = 2910) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8730 ÷ 5 = 1746) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8730 ÷ 6 = 1455) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8730 ÷ 9 = 970) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8730 ÷ 10 = 873) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8730 a prime number?
No. 8730 = 2 × × 5 × 97, so it is divisible by 2.
What are the factors of 8730?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730.
What is 8730 in binary?
10001000011010 (hexadecimal 221A, octal 21032).
What is the square root of 8730?
About 93.4345, exactly 3√970.
Is 8730 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8730?
8730 is a Harshad number: divisible by its digit sum 18.