The number 35339
35339 is the 3765th prime number. Its only divisors are 1 and 35339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35339: the 3765th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35339 is prime, so its only factors are 1 and 35339. It is the 3765th prime; the next prime is 35353 and the one before is 35327.
- 3
The divisors add up to 35340; without 35339 itself that is 1, so 35339 is deficient (1 is less than 35339). Euler's totient φ(35339) = 35338 numbers up to 35339 share no factor with it.
- 4
The digits of 35339 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
35339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35340 |
| Euler totient φ(n) | 35338 |
| Square | 1248844921 |
| Cube | 44132930663219 |
| Square root | 187.986702 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5339 × |
35339 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and thirty-nine |
| Binary (base 2) | 1000101000001011 |
| Octal (base 8) | 105013 |
| Hexadecimal (base 16) | 8A0B |
| Base 3 | 1210110212 |
| As time | 35339 seconds = 9 h 48 min 59 s |
Is 35339 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 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35339 a prime number?
Yes. 35339 is divisible only by 1 and itself.
What are the factors of 35339?
1, 35339.
What is 35339 in binary?
1000101000001011 (hexadecimal 8A0B, octal 105013).
What is the square root of 35339?
About 187.9867.
Is 35339 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 35339?
35339 is the 3765th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.