The number 31713
31713 is a palindrome: it reads 31713 backwards too. Its prime factorisation is 3 × 11 × . Divisors (12): 1, 3, 11, 31, 33, 93, 341, 961, 1023, 2883, 10571, 31713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31713: a palindrome: it reads 31713 backwards too.
- 2
31713 is composite. Its prime factorisation is
- 3
The divisors add up to 47664; without 31713 itself that is 15951, so 31713 is deficient (15951 is less than 31713). Euler's totient φ(31713) = 18600 numbers up to 31713 share no factor with it.
- 4
The digits of 31713 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 222 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31713 = 3 \times 11 \times 31^{2} \]31713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 47664 |
| Euler totient φ(n) | 18600 |
| Square | 1005714369 |
| Cube | 31894219784097 |
| Square root | 178.081442 (= 31√33) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 222 |
| Scientific notation | 3.1713 × |
31713 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and thirteen |
| Binary (base 2) | 111101111100001 |
| Octal (base 8) | 75741 |
| Hexadecimal (base 16) | 7BE1 |
| Base 3 | 1121111120 |
| As time | 31713 seconds = 8 h 48 min 33 s |
Is 31713 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 | Yes (31713 ÷ 3 = 10571) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 | Yes (31713 ÷ 11 = 2883) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31713 a prime number?
No. 31713 = 3 × 11 × , so it is divisible by 3.
What are the factors of 31713?
1, 3, 11, 31, 33, 93, 341, 961, 1023, 2883, 10571, 31713.
What is 31713 in binary?
111101111100001 (hexadecimal 7BE1, octal 75741).
What is the square root of 31713?
About 178.0814, exactly 31√33.
Is 31713 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31713?
31713 is a palindrome: it reads 31713 backwards too.