The number 82104
82104 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 311. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264 … 82104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82104 is composite. Its prime factorisation is
- 3
The divisors add up to 224640; without 82104 itself that is 142536, so 82104 is abundant (142536 is more than 82104). Euler's totient φ(82104) = 24800 numbers up to 82104 share no factor with it.
- 4
The digits of 82104 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82104 = 2^{3} \times 3 \times 11 \times 311 \]82104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 224640 |
| Euler totient φ(n) | 24800 |
| Square | 6741066816 |
| Cube | 553468549860864 |
| Square root | 286.537956 (= 2√20526) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.2104 × |
82104 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand one hundred and four |
| Binary (base 2) | 10100000010111000 |
| Octal (base 8) | 240270 |
| Hexadecimal (base 16) | 140B8 |
| Base 3 | 11011121220 |
| As time | 82104 seconds = 22 h 48 min 24 s |
Is 82104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82104 ÷ 2 = 41052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82104 ÷ 3 = 27368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82104 ÷ 4 = 20526) | 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 (82104 ÷ 6 = 13684) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (82104 ÷ 8 = 10263) | 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 | Yes (82104 ÷ 11 = 7464) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (82104 ÷ 12 = 6842) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82104 a prime number?
No. 82104 = × 3 × 11 × 311, so it is divisible by 2.
What are the factors of 82104?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 311, 622, 933, 1244, 1866, 2488, 3421, 3732, 6842, 7464, 10263, 13684, 20526, 27368, 41052, 82104.
What is 82104 in binary?
10100000010111000 (hexadecimal 140B8, octal 240270).
What is the square root of 82104?
About 286.5380, exactly 2√20526.
Is 82104 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 82104?
It is a composite number with 32 divisors.