The number 31217
31217 is a composite number with 8 divisors. Its prime factorisation is 19 × 31 × 53. Divisors (8): 1, 19, 31, 53, 589, 1007, 1643, 31217.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31217 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31217 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 31217 itself that is 3343, so 31217 is deficient (3343 is less than 31217). Euler's totient φ(31217) = 28080 numbers up to 31217 share no factor with it.
- 4
The digits of 31217 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31217 = 19 \times 31 \times 53 \]
31217 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 28080 |
| Square | 974501089 |
| Cube | 30421000495313 |
| Square root | 176.683333 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1217 × |
31217 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and seventeen |
| Binary (base 2) | 111100111110001 |
| Octal (base 8) | 74761 |
| Hexadecimal (base 16) | 79F1 |
| Base 3 | 1120211012 |
| As time | 31217 seconds = 8 h 40 min 17 s |
Is 31217 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31217 a prime number?
No. 31217 = 19 × 31 × 53, so it is divisible by 19.
What are the factors of 31217?
1, 19, 31, 53, 589, 1007, 1643, 31217.
What is 31217 in binary?
111100111110001 (hexadecimal 79F1, octal 74761).
What is the square root of 31217?
About 176.6833.
Is 31217 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31217?
It is a composite number with 8 divisors.