The number 35879
35879 is the 3812th prime number. Its only divisors are 1 and 35879.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35879: the 3812th prime number.
- 2
35879 is prime, so its only factors are 1 and 35879. It is the 3812th prime; the next prime is 35897 and the one before is 35869.
- 3
The divisors add up to 35880; without 35879 itself that is 1, so 35879 is deficient (1 is less than 35879). Euler's totient φ(35879) = 35878 numbers up to 35879 share no factor with it.
- 4
The digits of 35879 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
35879 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35880 |
| Euler totient φ(n) | 35878 |
| Square | 1287302641 |
| Cube | 46187131456439 |
| Square root | 189.417528 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.5879 × |
35879 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and seventy-nine |
| Binary (base 2) | 1000110000100111 |
| Octal (base 8) | 106047 |
| Hexadecimal (base 16) | 8C27 |
| Base 3 | 1211012212 |
| As time | 35879 seconds = 9 h 57 min 59 s |
Is 35879 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 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 7) | 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 8) | 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 35879 a prime number?
Yes. 35879 is divisible only by 1 and itself.
What are the factors of 35879?
1, 35879.
What is 35879 in binary?
1000110000100111 (hexadecimal 8C27, octal 106047).
What is the square root of 35879?
About 189.4175.
Is 35879 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 35879?
35879 is the 3812th prime number.