The number 83385
83385 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 109. Divisors (24): 1, 3, 5, 9, 15, 17, 45, 51, 85, 109, 153, 255, 327, 545, 765, 981 … 83385.
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How to work it out
- 1
83385 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83385 is composite. Its prime factorisation is
- 3
The divisors add up to 154440; without 83385 itself that is 71055, so 83385 is deficient (71055 is less than 83385). Euler's totient φ(83385) = 41472 numbers up to 83385 share no factor with it.
- 4
The digits of 83385 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83385 = 3^{2} \times 5 \times 17 \times 109 \]83385 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 154440 |
| Euler totient φ(n) | 41472 |
| Square | 6953058225 |
| Cube | 579780760091625 |
| Square root | 288.764610 (= 3√9265) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.3385 × |
83385 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and eighty-five |
| Binary (base 2) | 10100010110111001 |
| Octal (base 8) | 242671 |
| Hexadecimal (base 16) | 145B9 |
| Base 3 | 11020101100 |
| As time | 83385 seconds = 23 h 9 min 45 s |
Is 83385 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83385 ÷ 3 = 27795) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83385 ÷ 5 = 16677) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83385 ÷ 9 = 9265) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83385 a prime number?
No. 83385 = × 5 × 17 × 109, so it is divisible by 3.
What are the factors of 83385?
1, 3, 5, 9, 15, 17, 45, 51, 85, 109, 153, 255, 327, 545, 765, 981, 1635, 1853, 4905, 5559, 9265, 16677, 27795, 83385.
What is 83385 in binary?
10100010110111001 (hexadecimal 145B9, octal 242671).
What is the square root of 83385?
About 288.7646, exactly 3√9265.
Is 83385 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83385?
It is a composite number with 24 divisors.