The number 82014
82014 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 13669. Divisors (8): 1, 2, 3, 6, 13669, 27338, 41007, 82014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82014 is composite. Its prime factorisation is
- 3
The divisors add up to 164040; without 82014 itself that is 82026, so 82014 is abundant (82026 is more than 82014). Euler's totient φ(82014) = 27336 numbers up to 82014 share no factor with it.
- 4
The digits of 82014 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82014 = 2 \times 3 \times 13669 \]
82014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 164040 |
| Euler totient φ(n) | 27336 |
| Square | 6726296196 |
| Cube | 551650456218744 |
| Square root | 286.380865 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.2014 × |
82014 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and fourteen |
| Binary (base 2) | 10100000001011110 |
| Octal (base 8) | 240136 |
| Hexadecimal (base 16) | 1405E |
| Base 3 | 11011111120 |
| As time | 82014 seconds = 22 h 46 min 54 s |
Is 82014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82014 ÷ 2 = 41007) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82014 ÷ 3 = 27338) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82014 ÷ 6 = 13669) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82014 a prime number?
No. 82014 = 2 × 3 × 13669, so it is divisible by 2.
What are the factors of 82014?
1, 2, 3, 6, 13669, 27338, 41007, 82014.
What is 82014 in binary?
10100000001011110 (hexadecimal 1405E, octal 240136).
What is the square root of 82014?
About 286.3809.
Is 82014 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 82014?
It is a composite number with 8 divisors.