The number 18013
18013 is the 2065th prime number. Its only divisors are 1 and 18013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18013: the 2065th prime number.
- 2
18013 is prime, so its only factors are 1 and 18013. It is the 2065th prime; the next prime is 18041 and the one before is 17989.
- 3
The divisors add up to 18014; without 18013 itself that is 1, so 18013 is deficient (1 is less than 18013). Euler's totient φ(18013) = 18012 numbers up to 18013 share no factor with it.
- 4
The digits of 18013 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 40 steps to reach 1.
18013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18014 |
| Euler totient φ(n) | 18012 |
| Square | 324468169 |
| Cube | 5844645128197 |
| Square root | 134.212518 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.8013 × |
18013 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and thirteen |
| Binary (base 2) | 100011001011101 |
| Octal (base 8) | 43135 |
| Hexadecimal (base 16) | 465D |
| Base 3 | 220201011 |
| As time | 18013 seconds = 5 h 0 min 13 s |
Is 18013 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 3) | 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 2) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 18013 a prime number?
Yes. 18013 is divisible only by 1 and itself.
What are the factors of 18013?
1, 18013.
What is 18013 in binary?
100011001011101 (hexadecimal 465D, octal 43135).
What is the square root of 18013?
About 134.2125.
Is 18013 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 18013?
18013 is the 2065th prime number.