The number 35509
35509 is a twin prime (35507 and 35509 are both prime) and the 3780th prime number. Its only divisors are 1 and 35509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35509: a twin prime (35507 and 35509 are both prime); the 3780th prime number.
- 2
35509 is prime, so its only factors are 1 and 35509. It is the 3780th prime; the next prime is 35521 and the one before is 35507.
- 3
The divisors add up to 35510; without 35509 itself that is 1, so 35509 is deficient (1 is less than 35509). Euler's totient φ(35509) = 35508 numbers up to 35509 share no factor with it.
- 4
The digits of 35509 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 98 steps to reach 1.
35509 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35510 |
| Euler totient φ(n) | 35508 |
| Square | 1260889081 |
| Cube | 44772910377229 |
| Square root | 188.438319 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.5509 × |
35509 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand five hundred and nine |
| Binary (base 2) | 1000101010110101 |
| Octal (base 8) | 105265 |
| Hexadecimal (base 16) | 8AB5 |
| Base 3 | 1210201011 |
| As time | 35509 seconds = 9 h 51 min 49 s |
Is 35509 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 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 5) | 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 35509 a prime number?
Yes. 35509 is divisible only by 1 and itself.
What are the factors of 35509?
1, 35509.
What is 35509 in binary?
1000101010110101 (hexadecimal 8AB5, octal 105265).
What is the square root of 35509?
About 188.4383.
Is 35509 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 35509?
35509 is a twin prime (35507 and 35509 are both prime); the 3780th prime number.