The number 71671
71671 is the 7095th prime number. Its only divisors are 1 and 71671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71671: the 7095th prime number.
- 2
71671 is prime, so its only factors are 1 and 71671. It is the 7095th prime; the next prime is 71693 and the one before is 71663.
- 3
The divisors add up to 71672; without 71671 itself that is 1, so 71671 is deficient (1 is less than 71671). Euler's totient φ(71671) = 71670 numbers up to 71671 share no factor with it.
- 4
The digits of 71671 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
71671 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71672 |
| Euler totient φ(n) | 71670 |
| Square | 5136732241 |
| Cube | 368154736444711 |
| Square root | 267.714400 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1671 × |
71671 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand six hundred and seventy-one |
| Binary (base 2) | 10001011111110111 |
| Octal (base 8) | 213767 |
| Hexadecimal (base 16) | 117F7 |
| Base 3 | 10122022111 |
| As time | 71671 seconds = 19 h 54 min 31 s |
Is 71671 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 1) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 71671 a prime number?
Yes. 71671 is divisible only by 1 and itself.
What are the factors of 71671?
1, 71671.
What is 71671 in binary?
10001011111110111 (hexadecimal 117F7, octal 213767).
What is the square root of 71671?
About 267.7144.
Is 71671 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 71671?
71671 is the 7095th prime number.