The number 82010
82010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 59 × 139. Divisors (16): 1, 2, 5, 10, 59, 118, 139, 278, 295, 590, 695, 1390, 8201, 16402, 41005, 82010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82010 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 82010 itself that is 69190, so 82010 is deficient (69190 is less than 82010). Euler's totient φ(82010) = 32016 numbers up to 82010 share no factor with it.
- 4
The digits of 82010 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82010 = 2 \times 5 \times 59 \times 139 \]
82010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 32016 |
| Square | 6725640100 |
| Cube | 551569744601000 |
| Square root | 286.373881 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.201 × |
82010 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and ten |
| Binary (base 2) | 10100000001011010 |
| Octal (base 8) | 240132 |
| Hexadecimal (base 16) | 1405A |
| Base 3 | 11011111102 |
| As time | 82010 seconds = 22 h 46 min 50 s |
Is 82010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82010 ÷ 2 = 41005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (82010 ÷ 5 = 16402) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (82010 ÷ 10 = 8201) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82010 a prime number?
No. 82010 = 2 × 5 × 59 × 139, so it is divisible by 2.
What are the factors of 82010?
1, 2, 5, 10, 59, 118, 139, 278, 295, 590, 695, 1390, 8201, 16402, 41005, 82010.
What is 82010 in binary?
10100000001011010 (hexadecimal 1405A, octal 240132).
What is the square root of 82010?
About 286.3739.
Is 82010 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 82010?
It is a composite number with 16 divisors.