The number 35839
35839 is a twin prime (35837 and 35839 are both prime) and the 3808th prime number. Its only divisors are 1 and 35839.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35839: a twin prime (35837 and 35839 are both prime); the 3808th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35839 is prime, so its only factors are 1 and 35839. It is the 3808th prime; the next prime is 35851 and the one before is 35837.
- 3
The divisors add up to 35840; without 35839 itself that is 1, so 35839 is deficient (1 is less than 35839). Euler's totient φ(35839) = 35838 numbers up to 35839 share no factor with it.
- 4
The digits of 35839 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 248 steps to reach 1.
35839 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35840 |
| Euler totient φ(n) | 35838 |
| Square | 1284433921 |
| Cube | 46032827294719 |
| Square root | 189.311912 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 248 |
| Scientific notation | 3.5839 × |
35839 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and thirty-nine |
| Binary (base 2) | 1000101111111111 |
| Octal (base 8) | 105777 |
| Hexadecimal (base 16) | 8BFF |
| Base 3 | 1211011101 |
| As time | 35839 seconds = 9 h 57 min 19 s |
Is 35839 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35839 a prime number?
Yes. 35839 is divisible only by 1 and itself.
What are the factors of 35839?
1, 35839.
What is 35839 in binary?
1000101111111111 (hexadecimal 8BFF, octal 105777).
What is the square root of 35839?
About 189.3119.
Is 35839 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 35839?
35839 is a twin prime (35837 and 35839 are both prime); the 3808th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.