The number 18059
18059 is a twin prime (18059 and 18061 are both prime) and the 2070th prime number. Its only divisors are 1 and 18059.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18059: a twin prime (18059 and 18061 are both prime); the 2070th prime number.
- 2
18059 is prime, so its only factors are 1 and 18059. It is the 2070th prime; the next prime is 18061 and the one before is 18049.
- 3
The divisors add up to 18060; without 18059 itself that is 1, so 18059 is deficient (1 is less than 18059). Euler's totient φ(18059) = 18058 numbers up to 18059 share no factor with it.
- 4
The digits of 18059 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.
18059 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18060 |
| Euler totient φ(n) | 18058 |
| Square | 326127481 |
| Cube | 5889536179379 |
| Square root | 134.383779 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.8059 × |
18059 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and fifty-nine |
| Binary (base 2) | 100011010001011 |
| Octal (base 8) | 43213 |
| Hexadecimal (base 16) | 468B |
| Base 3 | 220202212 |
| As time | 18059 seconds = 5 h 0 min 59 s |
Is 18059 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 4) | 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 6) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18059 a prime number?
Yes. 18059 is divisible only by 1 and itself.
What are the factors of 18059?
1, 18059.
What is 18059 in binary?
100011010001011 (hexadecimal 468B, octal 43213).
What is the square root of 18059?
About 134.3838.
Is 18059 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 18059?
18059 is a twin prime (18059 and 18061 are both prime); the 2070th prime number.