The number 18061
18061 is a twin prime (18059 and 18061 are both prime) and the 2071st prime number. Its only divisors are 1 and 18061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18061: a twin prime (18059 and 18061 are both prime); the 2071st prime number.
- 2
18061 is prime, so its only factors are 1 and 18061. It is the 2071st prime; the next prime is 18077 and the one before is 18059.
- 3
The divisors add up to 18062; without 18061 itself that is 1, so 18061 is deficient (1 is less than 18061). Euler's totient φ(18061) = 18060 numbers up to 18061 share no factor with it.
- 4
The digits of 18061 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
18061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18062 |
| Euler totient φ(n) | 18060 |
| Square | 326199721 |
| Cube | 5891493160981 |
| Square root | 134.391220 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.8061 × |
18061 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and sixty-one |
| Binary (base 2) | 100011010001101 |
| Octal (base 8) | 43215 |
| Hexadecimal (base 16) | 468D |
| Base 3 | 220202221 |
| As time | 18061 seconds = 5 h 1 min 1 s |
Is 18061 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 1) | 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 7) | 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 10) | 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 18061 a prime number?
Yes. 18061 is divisible only by 1 and itself.
What are the factors of 18061?
1, 18061.
What is 18061 in binary?
100011010001101 (hexadecimal 468D, octal 43215).
What is the square root of 18061?
About 134.3912.
Is 18061 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18061?
18061 is a twin prime (18059 and 18061 are both prime); the 2071st prime number.