The number 18330
18330 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 47. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 47, 65, 78, 94, 130 … 18330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18330: a Harshad number: divisible by its digit sum 15.
- 2
18330 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 18330 itself that is 30054, so 18330 is abundant (30054 is more than 18330). Euler's totient φ(18330) = 4416 numbers up to 18330 share no factor with it.
- 4
The digits of 18330 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 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18330 = 2 \times 3 \times 5 \times 13 \times 47 \]
18330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 4416 |
| Square | 335988900 |
| Cube | 6158676537000 |
| Square root | 135.388330 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.833 × |
18330 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and thirty |
| Binary (base 2) | 100011110011010 |
| Octal (base 8) | 43632 |
| Hexadecimal (base 16) | 479A |
| Base 3 | 221010220 |
| As time | 18330 seconds = 5 h 5 min 30 s |
Is 18330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18330 ÷ 2 = 9165) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18330 ÷ 3 = 6110) | 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 (18330 ÷ 5 = 3666) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18330 ÷ 6 = 3055) | 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 | No (remainder 2) | 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 (18330 ÷ 10 = 1833) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 18330 a prime number?
No. 18330 = 2 × 3 × 5 × 13 × 47, so it is divisible by 2.
What are the factors of 18330?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 47, 65, 78, 94, 130, 141, 195, 235, 282, 390, 470, 611, 705, 1222, 1410, 1833, 3055, 3666, 6110, 9165, 18330.
What is 18330 in binary?
100011110011010 (hexadecimal 479A, octal 43632).
What is the square root of 18330?
About 135.3883.
Is 18330 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 18330?
18330 is a Harshad number: divisible by its digit sum 15.