The number 35809
35809 is the 3805th prime number. Its only divisors are 1 and 35809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35809: the 3805th prime number.
- 2
35809 is prime, so its only factors are 1 and 35809. It is the 3805th prime; the next prime is 35831 and the one before is 35803.
- 3
The divisors add up to 35810; without 35809 itself that is 1, so 35809 is deficient (1 is less than 35809). Euler's totient φ(35809) = 35808 numbers up to 35809 share no factor with it.
- 4
The digits of 35809 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
35809 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35810 |
| Euler totient φ(n) | 35808 |
| Square | 1282284481 |
| Cube | 45917324980129 |
| Square root | 189.232661 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.5809 × |
35809 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and nine |
| Binary (base 2) | 1000101111100001 |
| Octal (base 8) | 105741 |
| Hexadecimal (base 16) | 8BE1 |
| Base 3 | 1211010021 |
| As time | 35809 seconds = 9 h 56 min 49 s |
Is 35809 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 4) | 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 7) | 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 4) | 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 35809 a prime number?
Yes. 35809 is divisible only by 1 and itself.
What are the factors of 35809?
1, 35809.
What is 35809 in binary?
1000101111100001 (hexadecimal 8BE1, octal 105741).
What is the square root of 35809?
About 189.2327.
Is 35809 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 35809?
35809 is the 3805th prime number.