The number 71317
71317 is a palindromic prime: it reads the same backwards and is prime, the 7059th prime number and a palindrome: it reads 71317 backwards too. Its only divisors are 1 and 71317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71317: a palindromic prime: it reads the same backwards and is prime; the 7059th prime number; a palindrome: it reads 71317 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71317 is prime, so its only factors are 1 and 71317. It is the 7059th prime; the next prime is 71327 and the one before is 71293.
- 3
The divisors add up to 71318; without 71317 itself that is 1, so 71317 is deficient (1 is less than 71317). Euler's totient φ(71317) = 71316 numbers up to 71317 share no factor with it.
- 4
The digits of 71317 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 50 steps to reach 1.
71317 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71318 |
| Euler totient φ(n) | 71316 |
| Square | 5086114489 |
| Cube | 362726427012013 |
| Square root | 267.052429 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1317 × |
71317 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and seventeen |
| Binary (base 2) | 10001011010010101 |
| Octal (base 8) | 213225 |
| Hexadecimal (base 16) | 11695 |
| Base 3 | 10121211101 |
| As time | 71317 seconds = 19 h 48 min 37 s |
Is 71317 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 2) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 71317 a prime number?
Yes. 71317 is divisible only by 1 and itself.
What are the factors of 71317?
1, 71317.
What is 71317 in binary?
10001011010010101 (hexadecimal 11695, octal 213225).
What is the square root of 71317?
About 267.0524.
Is 71317 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 71317?
71317 is a palindromic prime: it reads the same backwards and is prime; the 7059th prime number; a palindrome: it reads 71317 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.