The number 82971
82971 is a composite number with 16 divisors. Its prime factorisation is × 7 × 439. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 439, 1317, 3073, 3951, 9219, 11853, 27657, 82971.
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How to work it out
- 1
What is special about 82971: a Harshad number: divisible by its digit sum 27.
- 2
82971 is composite. Its prime factorisation is
- 3
The divisors add up to 140800; without 82971 itself that is 57829, so 82971 is deficient (57829 is less than 82971). Euler's totient φ(82971) = 47304 numbers up to 82971 share no factor with it.
- 4
The digits of 82971 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 226 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82971 = 3^{3} \times 7 \times 439 \]82971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 140800 |
| Euler totient φ(n) | 47304 |
| Square | 6884186841 |
| Cube | 571187866384611 |
| Square root | 288.046871 (= 3√9219) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 226 |
| Scientific notation | 8.2971 × |
82971 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand nine hundred and seventy-one |
| Binary (base 2) | 10100010000011011 |
| Octal (base 8) | 242033 |
| Hexadecimal (base 16) | 1441B |
| Base 3 | 11012211000 |
| As time | 82971 seconds = 23 h 2 min 51 s |
Is 82971 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 (82971 ÷ 3 = 27657) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (82971 ÷ 7 = 11853) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82971 ÷ 9 = 9219) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82971 a prime number?
No. 82971 = × 7 × 439, so it is divisible by 3.
What are the factors of 82971?
1, 3, 7, 9, 21, 27, 63, 189, 439, 1317, 3073, 3951, 9219, 11853, 27657, 82971.
What is 82971 in binary?
10100010000011011 (hexadecimal 1441B, octal 242033).
What is the square root of 82971?
About 288.0469, exactly 3√9219.
Is 82971 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 82971?
82971 is a Harshad number: divisible by its digit sum 27.