The number 82401
82401 is a composite number with 12 divisors. Its prime factorisation is 3 × × 227. Divisors (12): 1, 3, 11, 33, 121, 227, 363, 681, 2497, 7491, 27467, 82401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82401 is composite. Its prime factorisation is
- 3
The divisors add up to 121296; without 82401 itself that is 38895, so 82401 is deficient (38895 is less than 82401). Euler's totient φ(82401) = 49720 numbers up to 82401 share no factor with it.
- 4
The digits of 82401 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82401 = 3 \times 11^{2} \times 227 \]82401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 121296 |
| Euler totient φ(n) | 49720 |
| Square | 6789924801 |
| Cube | 559496593527201 |
| Square root | 287.055744 (= 11√681) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.2401 × |
82401 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand four hundred and one |
| Binary (base 2) | 10100000111100001 |
| Octal (base 8) | 240741 |
| Hexadecimal (base 16) | 141E1 |
| Base 3 | 11012000220 |
| As time | 82401 seconds = 22 h 53 min 21 s |
Is 82401 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 (82401 ÷ 3 = 27467) | 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 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 (82401 ÷ 11 = 7491) | 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 82401 a prime number?
No. 82401 = 3 × × 227, so it is divisible by 3.
What are the factors of 82401?
1, 3, 11, 33, 121, 227, 363, 681, 2497, 7491, 27467, 82401.
What is 82401 in binary?
10100000111100001 (hexadecimal 141E1, octal 240741).
What is the square root of 82401?
About 287.0557, exactly 11√681.
Is 82401 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 82401?
It is a composite number with 12 divisors.