The number 82431
82431 is a composite number with 16 divisors. Its prime factorisation is × 43 × 71. Divisors (16): 1, 3, 9, 27, 43, 71, 129, 213, 387, 639, 1161, 1917, 3053, 9159, 27477, 82431.
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How to work it out
- 1
What is special about 82431: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
82431 is composite. Its prime factorisation is
- 3
The divisors add up to 126720; without 82431 itself that is 44289, so 82431 is deficient (44289 is less than 82431). Euler's totient φ(82431) = 52920 numbers up to 82431 share no factor with it.
- 4
The digits of 82431 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
\[ 82431 = 3^{3} \times 43 \times 71 \]82431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 126720 |
| Euler totient φ(n) | 52920 |
| Square | 6794869761 |
| Cube | 560107909268991 |
| Square root | 287.107994 (= 3√9159) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.2431 × |
82431 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand four hundred and thirty-one |
| Binary (base 2) | 10100000111111111 |
| Octal (base 8) | 240777 |
| Hexadecimal (base 16) | 141FF |
| Base 3 | 11012002000 |
| As time | 82431 seconds = 22 h 53 min 51 s |
Is 82431 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 (82431 ÷ 3 = 27477) | 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 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82431 ÷ 9 = 9159) | 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 8) | 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 82431 a prime number?
No. 82431 = × 43 × 71, so it is divisible by 3.
What are the factors of 82431?
1, 3, 9, 27, 43, 71, 129, 213, 387, 639, 1161, 1917, 3053, 9159, 27477, 82431.
What is 82431 in binary?
10100000111111111 (hexadecimal 141FF, octal 240777).
What is the square root of 82431?
About 287.1080, exactly 3√9159.
Is 82431 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 82431?
82431 is a happy number: repeatedly adding the squares of its digits reaches 1.