The number 83585
83585 is a composite number with 8 divisors. Its prime factorisation is 5 × 73 × 229. Divisors (8): 1, 5, 73, 229, 365, 1145, 16717, 83585.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83585 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83585 is composite. Its prime factorisation is
- 3
The divisors add up to 102120; without 83585 itself that is 18535, so 83585 is deficient (18535 is less than 83585). Euler's totient φ(83585) = 65664 numbers up to 83585 share no factor with it.
- 4
The digits of 83585 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83585 = 5 \times 73 \times 229 \]
83585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 102120 |
| Euler totient φ(n) | 65664 |
| Square | 6986452225 |
| Cube | 583962609226625 |
| Square root | 289.110705 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.3585 × |
83585 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand five hundred and eighty-five |
| Binary (base 2) | 10100011010000001 |
| Octal (base 8) | 243201 |
| Hexadecimal (base 16) | 14681 |
| Base 3 | 11020122202 |
| As time | 83585 seconds = 23 h 13 min 5 s |
Is 83585 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 | No (remainder 2) | 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 (83585 ÷ 5 = 16717) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83585 a prime number?
No. 83585 = 5 × 73 × 229, so it is divisible by 5.
What are the factors of 83585?
1, 5, 73, 229, 365, 1145, 16717, 83585.
What is 83585 in binary?
10100011010000001 (hexadecimal 14681, octal 243201).
What is the square root of 83585?
About 289.1107.
Is 83585 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 83585?
It is a composite number with 8 divisors.