The number 71082
71082 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 359. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 359, 718, 1077, 2154 … 71082.
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How to work it out
- 1
What is special about 71082: a Harshad number: divisible by its digit sum 18.
- 2
71082 is composite. Its prime factorisation is
- 3
The divisors add up to 168480; without 71082 itself that is 97398, so 71082 is abundant (97398 is more than 71082). Euler's totient φ(71082) = 21480 numbers up to 71082 share no factor with it.
- 4
The digits of 71082 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71082 = 2 \times 3^{2} \times 11 \times 359 \]71082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 168480 |
| Euler totient φ(n) | 21480 |
| Square | 5052650724 |
| Cube | 359152518763368 |
| Square root | 266.612078 (= 3√7898) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.1082 × |
71082 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and eighty-two |
| Binary (base 2) | 10001010110101010 |
| Octal (base 8) | 212652 |
| Hexadecimal (base 16) | 115AA |
| Base 3 | 10121111200 |
| As time | 71082 seconds = 19 h 44 min 42 s |
Is 71082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71082 ÷ 2 = 35541) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71082 ÷ 3 = 23694) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (71082 ÷ 6 = 11847) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71082 ÷ 9 = 7898) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (71082 ÷ 11 = 6462) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71082 a prime number?
No. 71082 = 2 × × 11 × 359, so it is divisible by 2.
What are the factors of 71082?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 359, 718, 1077, 2154, 3231, 3949, 6462, 7898, 11847, 23694, 35541, 71082.
What is 71082 in binary?
10001010110101010 (hexadecimal 115AA, octal 212652).
What is the square root of 71082?
About 266.6121, exactly 3√7898.
Is 71082 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71082?
71082 is a Harshad number: divisible by its digit sum 18.