The number 14143
14143 is the 1664th prime number. Its only divisors are 1 and 14143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14143: the 1664th prime number.
- 2
14143 is prime, so its only factors are 1 and 14143. It is the 1664th prime; the next prime is 14149 and the one before is 14107.
- 3
The divisors add up to 14144; without 14143 itself that is 1, so 14143 is deficient (1 is less than 14143). Euler's totient φ(14143) = 14142 numbers up to 14143 share no factor with it.
- 4
The digits of 14143 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
14143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14144 |
| Euler totient φ(n) | 14142 |
| Square | 200024449 |
| Cube | 2828945782207 |
| Square root | 118.924346 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4143 × |
14143 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and forty-three |
| Binary (base 2) | 11011100111111 |
| Octal (base 8) | 33477 |
| Hexadecimal (base 16) | 373F |
| Base 3 | 201101211 |
| As time | 14143 seconds = 3 h 55 min 43 s |
Is 14143 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 3) | 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 4) | 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 8) | 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 14143 a prime number?
Yes. 14143 is divisible only by 1 and itself.
What are the factors of 14143?
1, 14143.
What is 14143 in binary?
11011100111111 (hexadecimal 373F, octal 33477).
What is the square root of 14143?
About 118.9243.
Is 14143 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 14143?
14143 is the 1664th prime number.