The number 85009
85009 is the 8278th prime number. Its only divisors are 1 and 85009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 85009: the 8278th prime number.
- 2
85009 is prime, so its only factors are 1 and 85009. It is the 8278th prime; the next prime is 85021 and the one before is 84991.
- 3
The divisors add up to 85010; without 85009 itself that is 1, so 85009 is deficient (1 is less than 85009). Euler's totient φ(85009) = 85008 numbers up to 85009 share no factor with it.
- 4
The digits of 85009 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
85009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 85010 |
| Euler totient φ(n) | 85008 |
| Square | 7226530081 |
| Cube | 614320095655729 |
| Square root | 291.563029 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.5009 × |
85009 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand and nine |
| Binary (base 2) | 10100110000010001 |
| Octal (base 8) | 246021 |
| Hexadecimal (base 16) | 14C11 |
| Base 3 | 11022121111 |
| As time | 85009 seconds = 23 h 36 min 49 s |
Is 85009 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 1) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 85009 a prime number?
Yes. 85009 is divisible only by 1 and itself.
What are the factors of 85009?
1, 85009.
What is 85009 in binary?
10100110000010001 (hexadecimal 14C11, octal 246021).
What is the square root of 85009?
About 291.5630.
Is 85009 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 85009?
85009 is the 8278th prime number.