The number 18427
18427 is the 2110th prime number. Its only divisors are 1 and 18427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18427: the 2110th prime number.
- 2
18427 is prime, so its only factors are 1 and 18427. It is the 2110th prime; the next prime is 18433 and the one before is 18413.
- 3
The divisors add up to 18428; without 18427 itself that is 1, so 18427 is deficient (1 is less than 18427). Euler's totient φ(18427) = 18426 numbers up to 18427 share no factor with it.
- 4
The digits of 18427 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
18427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18428 |
| Euler totient φ(n) | 18426 |
| Square | 339554329 |
| Cube | 6256967620483 |
| Square root | 135.746086 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 167 |
| Scientific notation | 1.8427 × |
18427 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and twenty-seven |
| Binary (base 2) | 100011111111011 |
| Octal (base 8) | 43773 |
| Hexadecimal (base 16) | 47FB |
| Base 3 | 221021111 |
| As time | 18427 seconds = 5 h 7 min 7 s |
Is 18427 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18427 a prime number?
Yes. 18427 is divisible only by 1 and itself.
What are the factors of 18427?
1, 18427.
What is 18427 in binary?
100011111111011 (hexadecimal 47FB, octal 43773).
What is the square root of 18427?
About 135.7461.
Is 18427 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 18427?
18427 is the 2110th prime number.