The number 71143
71143 is the 7043rd prime number. Its only divisors are 1 and 71143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71143: the 7043rd prime number.
- 2
71143 is prime, so its only factors are 1 and 71143. It is the 7043rd prime; the next prime is 71147 and the one before is 71129.
- 3
The divisors add up to 71144; without 71143 itself that is 1, so 71143 is deficient (1 is less than 71143). Euler's totient φ(71143) = 71142 numbers up to 71143 share no factor with it.
- 4
The digits of 71143 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 73 steps to reach 1.
71143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71144 |
| Euler totient φ(n) | 71142 |
| Square | 5061326449 |
| Cube | 360077947561207 |
| Square root | 266.726452 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.1143 × |
71143 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and forty-three |
| Binary (base 2) | 10001010111100111 |
| Octal (base 8) | 212747 |
| Hexadecimal (base 16) | 115E7 |
| Base 3 | 10121120221 |
| As time | 71143 seconds = 19 h 45 min 43 s |
Is 71143 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 2) | 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 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 6) | 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 71143 a prime number?
Yes. 71143 is divisible only by 1 and itself.
What are the factors of 71143?
1, 71143.
What is 71143 in binary?
10001010111100111 (hexadecimal 115E7, octal 212747).
What is the square root of 71143?
About 266.7265.
Is 71143 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 71143?
71143 is the 7043rd prime number.