The number 12143
12143 is the 1453rd prime number. Its only divisors are 1 and 12143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12143: the 1453rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12143 is prime, so its only factors are 1 and 12143. It is the 1453rd prime; the next prime is 12149 and the one before is 12119.
- 3
The divisors add up to 12144; without 12143 itself that is 1, so 12143 is deficient (1 is less than 12143). Euler's totient φ(12143) = 12142 numbers up to 12143 share no factor with it.
- 4
The digits of 12143 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
12143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12144 |
| Euler totient φ(n) | 12142 |
| Square | 147452449 |
| Cube | 1790515088207 |
| Square root | 110.195281 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 112 |
| Scientific notation | 1.2143 × |
12143 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and forty-three |
| Binary (base 2) | 10111101101111 |
| Octal (base 8) | 27557 |
| Hexadecimal (base 16) | 2F6F |
| Base 3 | 121122202 |
| As time | 12143 seconds = 3 h 22 min 23 s |
Is 12143 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 5) | 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 2) | 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 10) | 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 12143 a prime number?
Yes. 12143 is divisible only by 1 and itself.
What are the factors of 12143?
1, 12143.
What is 12143 in binary?
10111101101111 (hexadecimal 2F6F, octal 27557).
What is the square root of 12143?
About 110.1953.
Is 12143 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 12143?
12143 is the 1453rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.