The number 18371
18371 is the 2105th prime number. Its only divisors are 1 and 18371.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18371: the 2105th prime number.
- 2
18371 is prime, so its only factors are 1 and 18371. It is the 2105th prime; the next prime is 18379 and the one before is 18367.
- 3
The divisors add up to 18372; without 18371 itself that is 1, so 18371 is deficient (1 is less than 18371). Euler's totient φ(18371) = 18370 numbers up to 18371 share no factor with it.
- 4
The digits of 18371 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 185 steps to reach 1.
18371 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18372 |
| Euler totient φ(n) | 18370 |
| Square | 337493641 |
| Cube | 6200095678811 |
| Square root | 135.539662 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.8371 × |
18371 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and seventy-one |
| Binary (base 2) | 100011111000011 |
| Octal (base 8) | 43703 |
| Hexadecimal (base 16) | 47C3 |
| Base 3 | 221012102 |
| As time | 18371 seconds = 5 h 6 min 11 s |
Is 18371 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 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18371 a prime number?
Yes. 18371 is divisible only by 1 and itself.
What are the factors of 18371?
1, 18371.
What is 18371 in binary?
100011111000011 (hexadecimal 47C3, octal 43703).
What is the square root of 18371?
About 135.5397.
Is 18371 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 18371?
18371 is the 2105th prime number.