The number 82173
82173 is a composite number with 24 divisors. Its prime factorisation is 3 × × 13 × 43. Divisors (24): 1, 3, 7, 13, 21, 39, 43, 49, 91, 129, 147, 273, 301, 559, 637, 903 … 82173.
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How to work it out
- 1
What is special about 82173: a Harshad number: divisible by its digit sum 21.
- 2
82173 is composite. Its prime factorisation is
- 3
The divisors add up to 140448; without 82173 itself that is 58275, so 82173 is deficient (58275 is less than 82173). Euler's totient φ(82173) = 42336 numbers up to 82173 share no factor with it.
- 4
The digits of 82173 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82173 = 3 \times 7^{2} \times 13 \times 43 \]82173 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 140448 |
| Euler totient φ(n) | 42336 |
| Square | 6752401929 |
| Cube | 554865123711717 |
| Square root | 286.658333 (= 7√1677) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.2173 × |
82173 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand one hundred and seventy-three |
| Binary (base 2) | 10100000011111101 |
| Octal (base 8) | 240375 |
| Hexadecimal (base 16) | 140FD |
| Base 3 | 11011201110 |
| As time | 82173 seconds = 22 h 49 min 33 s |
Is 82173 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 (82173 ÷ 3 = 27391) | 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 3) | 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 (82173 ÷ 7 = 11739) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 82173 a prime number?
No. 82173 = 3 × × 13 × 43, so it is divisible by 3.
What are the factors of 82173?
1, 3, 7, 13, 21, 39, 43, 49, 91, 129, 147, 273, 301, 559, 637, 903, 1677, 1911, 2107, 3913, 6321, 11739, 27391, 82173.
What is 82173 in binary?
10100000011111101 (hexadecimal 140FD, octal 240375).
What is the square root of 82173?
About 286.6583, exactly 7√1677.
Is 82173 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 82173?
82173 is a Harshad number: divisible by its digit sum 21.