The number 71341
71341 is a twin prime (71339 and 71341 are both prime) and the 7064th prime number. Its only divisors are 1 and 71341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71341: a twin prime (71339 and 71341 are both prime); the 7064th prime number.
- 2
71341 is prime, so its only factors are 1 and 71341. It is the 7064th prime; the next prime is 71347 and the one before is 71339.
- 3
The divisors add up to 71342; without 71341 itself that is 1, so 71341 is deficient (1 is less than 71341). Euler's totient φ(71341) = 71340 numbers up to 71341 share no factor with it.
- 4
The digits of 71341 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 99 steps to reach 1.
71341 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71342 |
| Euler totient φ(n) | 71340 |
| Square | 5089538281 |
| Cube | 363092750504821 |
| Square root | 267.097361 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1341 × |
71341 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and forty-one |
| Binary (base 2) | 10001011010101101 |
| Octal (base 8) | 213255 |
| Hexadecimal (base 16) | 116AD |
| Base 3 | 10121212021 |
| As time | 71341 seconds = 19 h 49 min 1 s |
Is 71341 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 1) | 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 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 5) | 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 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71341 a prime number?
Yes. 71341 is divisible only by 1 and itself.
What are the factors of 71341?
1, 71341.
What is 71341 in binary?
10001011010101101 (hexadecimal 116AD, octal 213255).
What is the square root of 71341?
About 267.0974.
Is 71341 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 71341?
71341 is a twin prime (71339 and 71341 are both prime); the 7064th prime number.