The number 31317
31317 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 73. Divisors (16): 1, 3, 11, 13, 33, 39, 73, 143, 219, 429, 803, 949, 2409, 2847, 10439, 31317.
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How to work it out
- 1
31317 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31317 is composite. Its prime factorisation is
- 3
The divisors add up to 49728; without 31317 itself that is 18411, so 31317 is deficient (18411 is less than 31317). Euler's totient φ(31317) = 17280 numbers up to 31317 share no factor with it.
- 4
The digits of 31317 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31317 = 3 \times 11 \times 13 \times 73 \]
31317 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 49728 |
| Euler totient φ(n) | 17280 |
| Square | 980754489 |
| Cube | 30714288332013 |
| Square root | 176.966098 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1317 × |
31317 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and seventeen |
| Binary (base 2) | 111101001010101 |
| Octal (base 8) | 75125 |
| Hexadecimal (base 16) | 7A55 |
| Base 3 | 1120221220 |
| As time | 31317 seconds = 8 h 41 min 57 s |
Is 31317 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 (31317 ÷ 3 = 10439) | 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 3) | 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 6) | 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 | Yes (31317 ÷ 11 = 2847) | 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 31317 a prime number?
No. 31317 = 3 × 11 × 13 × 73, so it is divisible by 3.
What are the factors of 31317?
1, 3, 11, 13, 33, 39, 73, 143, 219, 429, 803, 949, 2409, 2847, 10439, 31317.
What is 31317 in binary?
111101001010101 (hexadecimal 7A55, octal 75125).
What is the square root of 31317?
About 176.9661.
Is 31317 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31317?
It is a composite number with 16 divisors.