The number 35089
35089 is the 3741st prime number. Its only divisors are 1 and 35089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35089: the 3741st prime number.
- 2
35089 is prime, so its only factors are 1 and 35089. It is the 3741st prime; the next prime is 35099 and the one before is 35083.
- 3
The divisors add up to 35090; without 35089 itself that is 1, so 35089 is deficient (1 is less than 35089). Euler's totient φ(35089) = 35088 numbers up to 35089 share no factor with it.
- 4
The digits of 35089 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 142 steps to reach 1.
35089 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35090 |
| Euler totient φ(n) | 35088 |
| Square | 1231237921 |
| Cube | 43202907409969 |
| Square root | 187.320581 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5089 × |
35089 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and eighty-nine |
| Binary (base 2) | 1000100100010001 |
| Octal (base 8) | 104421 |
| Hexadecimal (base 16) | 8911 |
| Base 3 | 1210010121 |
| As time | 35089 seconds = 9 h 44 min 49 s |
Is 35089 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 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 10) | 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 35089 a prime number?
Yes. 35089 is divisible only by 1 and itself.
What are the factors of 35089?
1, 35089.
What is 35089 in binary?
1000100100010001 (hexadecimal 8911, octal 104421).
What is the square root of 35089?
About 187.3206.
Is 35089 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 35089?
35089 is the 3741st prime number.