The number 18043
18043 is a twin prime (18041 and 18043 are both prime) and the 2067th prime number. Its only divisors are 1 and 18043.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18043: a twin prime (18041 and 18043 are both prime); the 2067th prime number.
- 2
18043 is prime, so its only factors are 1 and 18043. It is the 2067th prime; the next prime is 18047 and the one before is 18041.
- 3
The divisors add up to 18044; without 18043 itself that is 1, so 18043 is deficient (1 is less than 18043). Euler's totient φ(18043) = 18042 numbers up to 18043 share no factor with it.
- 4
The digits of 18043 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.
18043 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18044 |
| Euler totient φ(n) | 18042 |
| Square | 325549849 |
| Cube | 5873895925507 |
| Square root | 134.324235 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.8043 × |
18043 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and forty-three |
| Binary (base 2) | 100011001111011 |
| Octal (base 8) | 43173 |
| Hexadecimal (base 16) | 467B |
| Base 3 | 220202021 |
| As time | 18043 seconds = 5 h 0 min 43 s |
Is 18043 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 3) | 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 4) | 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 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18043 a prime number?
Yes. 18043 is divisible only by 1 and itself.
What are the factors of 18043?
1, 18043.
What is 18043 in binary?
100011001111011 (hexadecimal 467B, octal 43173).
What is the square root of 18043?
About 134.3242.
Is 18043 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18043?
18043 is a twin prime (18041 and 18043 are both prime); the 2067th prime number.