The number 31017
31017 is a composite number with 12 divisors. Its prime factorisation is 3 × × 211. Divisors (12): 1, 3, 7, 21, 49, 147, 211, 633, 1477, 4431, 10339, 31017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31017 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31017 is composite. Its prime factorisation is
- 3
The divisors add up to 48336; without 31017 itself that is 17319, so 31017 is deficient (17319 is less than 31017). Euler's totient φ(31017) = 17640 numbers up to 31017 share no factor with it.
- 4
The digits of 31017 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31017 = 3 \times 7^{2} \times 211 \]31017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48336 |
| Euler totient φ(n) | 17640 |
| Square | 962054289 |
| Cube | 29840037881913 |
| Square root | 176.116439 (= 7√633) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.1017 × |
31017 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and seventeen |
| Binary (base 2) | 111100100101001 |
| Octal (base 8) | 74451 |
| Hexadecimal (base 16) | 7929 |
| Base 3 | 1120112210 |
| As time | 31017 seconds = 8 h 36 min 57 s |
Is 31017 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 (31017 ÷ 3 = 10339) | 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 | Yes (31017 ÷ 7 = 4431) | 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 3) | 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 8) | 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 31017 a prime number?
No. 31017 = 3 × × 211, so it is divisible by 3.
What are the factors of 31017?
1, 3, 7, 21, 49, 147, 211, 633, 1477, 4431, 10339, 31017.
What is 31017 in binary?
111100100101001 (hexadecimal 7929, octal 74451).
What is the square root of 31017?
About 176.1164, exactly 7√633.
Is 31017 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31017?
It is a composite number with 12 divisors.