The number 18301
18301 is the 2097th prime number. Its only divisors are 1 and 18301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18301: the 2097th prime number.
- 2
18301 is prime, so its only factors are 1 and 18301. It is the 2097th prime; the next prime is 18307 and the one before is 18289.
- 3
The divisors add up to 18302; without 18301 itself that is 1, so 18301 is deficient (1 is less than 18301). Euler's totient φ(18301) = 18300 numbers up to 18301 share no factor with it.
- 4
The digits of 18301 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
18301 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18302 |
| Euler totient φ(n) | 18300 |
| Square | 334926601 |
| Cube | 6129491724901 |
| Square root | 135.281189 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.8301 × |
18301 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and one |
| Binary (base 2) | 100011101111101 |
| Octal (base 8) | 43575 |
| Hexadecimal (base 16) | 477D |
| Base 3 | 221002211 |
| As time | 18301 seconds = 5 h 5 min 1 s |
Is 18301 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 1) | 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 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18301 a prime number?
Yes. 18301 is divisible only by 1 and itself.
What are the factors of 18301?
1, 18301.
What is 18301 in binary?
100011101111101 (hexadecimal 477D, octal 43575).
What is the square root of 18301?
About 135.2812.
Is 18301 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 18301?
18301 is the 2097th prime number.