The number 27143
27143 is the 2976th prime number. Its only divisors are 1 and 27143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27143: the 2976th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27143 is prime, so its only factors are 1 and 27143. It is the 2976th prime; the next prime is 27179 and the one before is 27127.
- 3
The divisors add up to 27144; without 27143 itself that is 1, so 27143 is deficient (1 is less than 27143). Euler's totient φ(27143) = 27142 numbers up to 27143 share no factor with it.
- 4
The digits of 27143 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 139 steps to reach 1.
27143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27144 |
| Euler totient φ(n) | 27142 |
| Square | 736742449 |
| Cube | 19997400293207 |
| Square root | 164.751328 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7143 × |
27143 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and forty-three |
| Binary (base 2) | 110101000000111 |
| Octal (base 8) | 65007 |
| Hexadecimal (base 16) | 6A07 |
| Base 3 | 1101020022 |
| As time | 27143 seconds = 7 h 32 min 23 s |
Is 27143 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 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 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 6) | 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 27143 a prime number?
Yes. 27143 is divisible only by 1 and itself.
What are the factors of 27143?
1, 27143.
What is 27143 in binary?
110101000000111 (hexadecimal 6A07, octal 65007).
What is the square root of 27143?
About 164.7513.
Is 27143 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27143?
27143 is the 2976th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.