The number 18143
18143 is the 2080th prime number. Its only divisors are 1 and 18143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18143: the 2080th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18143 is prime, so its only factors are 1 and 18143. It is the 2080th prime; the next prime is 18149 and the one before is 18133.
- 3
The divisors add up to 18144; without 18143 itself that is 1, so 18143 is deficient (1 is less than 18143). Euler's totient φ(18143) = 18142 numbers up to 18143 share no factor with it.
- 4
The digits of 18143 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
18143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 18142 |
| Square | 329168449 |
| Cube | 5972103170207 |
| Square root | 134.695954 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8143 × |
18143 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and forty-three |
| Binary (base 2) | 100011011011111 |
| Octal (base 8) | 43337 |
| Hexadecimal (base 16) | 46DF |
| Base 3 | 220212222 |
| As time | 18143 seconds = 5 h 2 min 23 s |
Is 18143 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 4) | 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 18143 a prime number?
Yes. 18143 is divisible only by 1 and itself.
What are the factors of 18143?
1, 18143.
What is 18143 in binary?
100011011011111 (hexadecimal 46DF, octal 43337).
What is the square root of 18143?
About 134.6960.
Is 18143 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 18143?
18143 is the 2080th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.