The number 82731
82731 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 23 × 109. Divisors (16): 1, 3, 11, 23, 33, 69, 109, 253, 327, 759, 1199, 2507, 3597, 7521, 27577, 82731.
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How to work it out
- 1
82731 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82731 is composite. Its prime factorisation is
- 3
The divisors add up to 126720; without 82731 itself that is 43989, so 82731 is deficient (43989 is less than 82731). Euler's totient φ(82731) = 47520 numbers up to 82731 share no factor with it.
- 4
The digits of 82731 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82731 = 3 \times 11 \times 23 \times 109 \]
82731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 126720 |
| Euler totient φ(n) | 47520 |
| Square | 6844418361 |
| Cube | 566245575423891 |
| Square root | 287.629971 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2731 × |
82731 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand seven hundred and thirty-one |
| Binary (base 2) | 10100001100101011 |
| Octal (base 8) | 241453 |
| Hexadecimal (base 16) | 1432B |
| Base 3 | 11012111010 |
| As time | 82731 seconds = 22 h 58 min 51 s |
Is 82731 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 (82731 ÷ 3 = 27577) | 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 | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (82731 ÷ 11 = 7521) | 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 82731 a prime number?
No. 82731 = 3 × 11 × 23 × 109, so it is divisible by 3.
What are the factors of 82731?
1, 3, 11, 23, 33, 69, 109, 253, 327, 759, 1199, 2507, 3597, 7521, 27577, 82731.
What is 82731 in binary?
10100001100101011 (hexadecimal 1432B, octal 241453).
What is the square root of 82731?
About 287.6300.
Is 82731 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 82731?
It is a composite number with 16 divisors.