The number 35993
35993 is the 3823rd prime number. Its only divisors are 1 and 35993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35993: the 3823rd prime number.
- 2
35993 is prime, so its only factors are 1 and 35993. It is the 3823rd prime; the next prime is 35999 and the one before is 35983.
- 3
The divisors add up to 35994; without 35993 itself that is 1, so 35993 is deficient (1 is less than 35993). Euler's totient φ(35993) = 35992 numbers up to 35993 share no factor with it.
- 4
The digits of 35993 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
35993 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35994 |
| Euler totient φ(n) | 35992 |
| Square | 1295496049 |
| Cube | 46628789291657 |
| Square root | 189.718212 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.5993 × |
35993 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and ninety-three |
| Binary (base 2) | 1000110010011001 |
| Octal (base 8) | 106231 |
| Hexadecimal (base 16) | 8C99 |
| Base 3 | 1211101002 |
| As time | 35993 seconds = 9 h 59 min 53 s |
Is 35993 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35993 a prime number?
Yes. 35993 is divisible only by 1 and itself.
What are the factors of 35993?
1, 35993.
What is 35993 in binary?
1000110010011001 (hexadecimal 8C99, octal 106231).
What is the square root of 35993?
About 189.7182.
Is 35993 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 35993?
35993 is the 3823rd prime number.