The number 82017
82017 is a composite number with 12 divisors. Its prime factorisation is × 13 × 701. Divisors (12): 1, 3, 9, 13, 39, 117, 701, 2103, 6309, 9113, 27339, 82017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82017 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82017 is composite. Its prime factorisation is
- 3
The divisors add up to 127764; without 82017 itself that is 45747, so 82017 is deficient (45747 is less than 82017). Euler's totient φ(82017) = 50400 numbers up to 82017 share no factor with it.
- 4
The digits of 82017 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82017 = 3^{2} \times 13 \times 701 \]82017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 127764 |
| Euler totient φ(n) | 50400 |
| Square | 6726788289 |
| Cube | 551710995098913 |
| Square root | 286.386103 (= 3√9113) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.2017 × |
82017 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and seventeen |
| Binary (base 2) | 10100000001100001 |
| Octal (base 8) | 240141 |
| Hexadecimal (base 16) | 14061 |
| Base 3 | 11011111200 |
| As time | 82017 seconds = 22 h 46 min 57 s |
Is 82017 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 (82017 ÷ 3 = 27339) | 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 5) | 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 | Yes (82017 ÷ 9 = 9113) | 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 1) | 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 82017 a prime number?
No. 82017 = × 13 × 701, so it is divisible by 3.
What are the factors of 82017?
1, 3, 9, 13, 39, 117, 701, 2103, 6309, 9113, 27339, 82017.
What is 82017 in binary?
10100000001100001 (hexadecimal 14061, octal 240141).
What is the square root of 82017?
About 286.3861, exactly 3√9113.
Is 82017 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 82017?
It is a composite number with 12 divisors.