The number 18041
18041 is a twin prime (18041 and 18043 are both prime) and the 2066th prime number. Its only divisors are 1 and 18041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18041: a twin prime (18041 and 18043 are both prime); the 2066th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18041 is prime, so its only factors are 1 and 18041. It is the 2066th prime; the next prime is 18043 and the one before is 18013.
- 3
The divisors add up to 18042; without 18041 itself that is 1, so 18041 is deficient (1 is less than 18041). Euler's totient φ(18041) = 18040 numbers up to 18041 share no factor with it.
- 4
The digits of 18041 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
18041 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18042 |
| Euler totient φ(n) | 18040 |
| Square | 325477681 |
| Cube | 5871942842921 |
| Square root | 134.316790 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.8041 × |
18041 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and forty-one |
| Binary (base 2) | 100011001111001 |
| Octal (base 8) | 43171 |
| Hexadecimal (base 16) | 4679 |
| Base 3 | 220202012 |
| As time | 18041 seconds = 5 h 0 min 41 s |
Is 18041 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 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 5) | 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 1) | 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 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18041 a prime number?
Yes. 18041 is divisible only by 1 and itself.
What are the factors of 18041?
1, 18041.
What is 18041 in binary?
100011001111001 (hexadecimal 4679, octal 43171).
What is the square root of 18041?
About 134.3168.
Is 18041 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 18041?
18041 is a twin prime (18041 and 18043 are both prime); the 2066th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.