The number 83382
83382 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 1069. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 1069, 2138, 3207, 6414, 13897, 27794, 41691, 83382.
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How to work it out
- 1
83382 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83382 is composite. Its prime factorisation is
- 3
The divisors add up to 179760; without 83382 itself that is 96378, so 83382 is abundant (96378 is more than 83382). Euler's totient φ(83382) = 25632 numbers up to 83382 share no factor with it.
- 4
The digits of 83382 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83382 = 2 \times 3 \times 13 \times 1069 \]
83382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 179760 |
| Euler totient φ(n) | 25632 |
| Square | 6952557924 |
| Cube | 579718184818968 |
| Square root | 288.759415 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.3382 × |
83382 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and eighty-two |
| Binary (base 2) | 10100010110110110 |
| Octal (base 8) | 242666 |
| Hexadecimal (base 16) | 145B6 |
| Base 3 | 11020101020 |
| As time | 83382 seconds = 23 h 9 min 42 s |
Is 83382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83382 ÷ 2 = 41691) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83382 ÷ 3 = 27794) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83382 ÷ 6 = 13897) | 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 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 83382 a prime number?
No. 83382 = 2 × 3 × 13 × 1069, so it is divisible by 2.
What are the factors of 83382?
1, 2, 3, 6, 13, 26, 39, 78, 1069, 2138, 3207, 6414, 13897, 27794, 41691, 83382.
What is 83382 in binary?
10100010110110110 (hexadecimal 145B6, octal 242666).
What is the square root of 83382?
About 288.7594.
Is 83382 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83382?
It is a composite number with 16 divisors.