The number 71413
71413 is a twin prime (71411 and 71413 are both prime) and the 7073rd prime number. Its only divisors are 1 and 71413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71413: a twin prime (71411 and 71413 are both prime); the 7073rd prime number.
- 2
71413 is prime, so its only factors are 1 and 71413. It is the 7073rd prime; the next prime is 71419 and the one before is 71411.
- 3
The divisors add up to 71414; without 71413 itself that is 1, so 71413 is deficient (1 is less than 71413). Euler's totient φ(71413) = 71412 numbers up to 71413 share no factor with it.
- 4
The digits of 71413 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 50 steps to reach 1.
71413 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71414 |
| Euler totient φ(n) | 71412 |
| Square | 5099816569 |
| Cube | 364193200641997 |
| Square root | 267.232109 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1413 × |
71413 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and thirteen |
| Binary (base 2) | 10001011011110101 |
| Octal (base 8) | 213365 |
| Hexadecimal (base 16) | 116F5 |
| Base 3 | 10121221221 |
| As time | 71413 seconds = 19 h 50 min 13 s |
Is 71413 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 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 6) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 71413 a prime number?
Yes. 71413 is divisible only by 1 and itself.
What are the factors of 71413?
1, 71413.
What is 71413 in binary?
10001011011110101 (hexadecimal 116F5, octal 213365).
What is the square root of 71413?
About 267.2321.
Is 71413 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 71413?
71413 is a twin prime (71411 and 71413 are both prime); the 7073rd prime number.