The number 71713
71713 is a twin prime (71711 and 71713 are both prime) and the 7100th prime number. Its only divisors are 1 and 71713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71713: a twin prime (71711 and 71713 are both prime); the 7100th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71713 is prime, so its only factors are 1 and 71713. It is the 7100th prime; the next prime is 71719 and the one before is 71711.
- 3
The divisors add up to 71714; without 71713 itself that is 1, so 71713 is deficient (1 is less than 71713). Euler's totient φ(71713) = 71712 numbers up to 71713 share no factor with it.
- 4
The digits of 71713 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
71713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71714 |
| Euler totient φ(n) | 71712 |
| Square | 5142754369 |
| Cube | 368802344064097 |
| Square root | 267.792830 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.1713 × |
71713 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand seven hundred and thirteen |
| Binary (base 2) | 10001100000100001 |
| Octal (base 8) | 214041 |
| Hexadecimal (base 16) | 11821 |
| Base 3 | 10122101001 |
| As time | 71713 seconds = 19 h 55 min 13 s |
Is 71713 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | 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 71713 a prime number?
Yes. 71713 is divisible only by 1 and itself.
What are the factors of 71713?
1, 71713.
What is 71713 in binary?
10001100000100001 (hexadecimal 11821, octal 214041).
What is the square root of 71713?
About 267.7928.
Is 71713 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 71713?
71713 is a twin prime (71711 and 71713 are both prime); the 7100th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.