The number 35999
35999 is the 3824th prime number. Its only divisors are 1 and 35999.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35999: the 3824th prime number.
- 2
35999 is prime, so its only factors are 1 and 35999. It is the 3824th prime; the next prime is 36007 and the one before is 35993.
- 3
The divisors add up to 36000; without 35999 itself that is 1, so 35999 is deficient (1 is less than 35999). Euler's totient φ(35999) = 35998 numbers up to 35999 share no factor with it.
- 4
The digits of 35999 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
35999 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36000 |
| Euler totient φ(n) | 35998 |
| Square | 1295928001 |
| Cube | 46652112107999 |
| Square root | 189.734024 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.5999 × |
35999 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and ninety-nine |
| Binary (base 2) | 1000110010011111 |
| Octal (base 8) | 106237 |
| Hexadecimal (base 16) | 8C9F |
| Base 3 | 1211101022 |
| As time | 35999 seconds = 9 h 59 min 59 s |
Is 35999 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 35999 a prime number?
Yes. 35999 is divisible only by 1 and itself.
What are the factors of 35999?
1, 35999.
What is 35999 in binary?
1000110010011111 (hexadecimal 8C9F, octal 106237).
What is the square root of 35999?
About 189.7340.
Is 35999 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 35999?
35999 is the 3824th prime number.