The number 82004
82004 is a composite number with 24 divisors. Its prime factorisation is × 13 × 19 × 83. Divisors (24): 1, 2, 4, 13, 19, 26, 38, 52, 76, 83, 166, 247, 332, 494, 988, 1079 … 82004.
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How to work it out
- 1
82004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82004 is composite. Its prime factorisation is
- 3
The divisors add up to 164640; without 82004 itself that is 82636, so 82004 is abundant (82636 is more than 82004). Euler's totient φ(82004) = 35424 numbers up to 82004 share no factor with it.
- 4
The digits of 82004 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82004 = 2^{2} \times 13 \times 19 \times 83 \]82004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 164640 |
| Euler totient φ(n) | 35424 |
| Square | 6724656016 |
| Cube | 551448691936064 |
| Square root | 286.363405 (= 2√20501) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.2004 × |
82004 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and four |
| Binary (base 2) | 10100000001010100 |
| Octal (base 8) | 240124 |
| Hexadecimal (base 16) | 14054 |
| Base 3 | 11011111012 |
| As time | 82004 seconds = 22 h 46 min 44 s |
Is 82004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82004 ÷ 2 = 41002) | 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 | Yes (82004 ÷ 4 = 20501) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82004 a prime number?
No. 82004 = × 13 × 19 × 83, so it is divisible by 2.
What are the factors of 82004?
1, 2, 4, 13, 19, 26, 38, 52, 76, 83, 166, 247, 332, 494, 988, 1079, 1577, 2158, 3154, 4316, 6308, 20501, 41002, 82004.
What is 82004 in binary?
10100000001010100 (hexadecimal 14054, octal 240124).
What is the square root of 82004?
About 286.3634, exactly 2√20501.
Is 82004 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 82004?
It is a composite number with 24 divisors.