The number 18380
18380 is a composite number with 12 divisors. Its prime factorisation is × 5 × 919. Divisors (12): 1, 2, 4, 5, 10, 20, 919, 1838, 3676, 4595, 9190, 18380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18380: a Harshad number: divisible by its digit sum 20.
- 2
18380 is composite. Its prime factorisation is
- 3
The divisors add up to 38640; without 18380 itself that is 20260, so 18380 is abundant (20260 is more than 18380). Euler's totient φ(18380) = 7344 numbers up to 18380 share no factor with it.
- 4
The digits of 18380 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18380 = 2^{2} \times 5 \times 919 \]18380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 38640 |
| Euler totient φ(n) | 7344 |
| Square | 337824400 |
| Cube | 6209212472000 |
| Square root | 135.572859 (= 2√4595) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.838 × |
18380 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and eighty |
| Binary (base 2) | 100011111001100 |
| Octal (base 8) | 43714 |
| Hexadecimal (base 16) | 47CC |
| Base 3 | 221012202 |
| As time | 18380 seconds = 5 h 6 min 20 s |
Is 18380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18380 ÷ 2 = 9190) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18380 ÷ 4 = 4595) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18380 ÷ 5 = 3676) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18380 ÷ 10 = 1838) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18380 a prime number?
No. 18380 = × 5 × 919, so it is divisible by 2.
What are the factors of 18380?
1, 2, 4, 5, 10, 20, 919, 1838, 3676, 4595, 9190, 18380.
What is 18380 in binary?
100011111001100 (hexadecimal 47CC, octal 43714).
What is the square root of 18380?
About 135.5729, exactly 2√4595.
Is 18380 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 18380?
18380 is a Harshad number: divisible by its digit sum 20.