The number 33713
33713 is the 3610th prime number. Its only divisors are 1 and 33713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33713: the 3610th prime number.
- 2
33713 is prime, so its only factors are 1 and 33713. It is the 3610th prime; the next prime is 33721 and the one before is 33703.
- 3
The divisors add up to 33714; without 33713 itself that is 1, so 33713 is deficient (1 is less than 33713). Euler's totient φ(33713) = 33712 numbers up to 33713 share no factor with it.
- 4
The digits of 33713 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
33713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33714 |
| Euler totient φ(n) | 33712 |
| Square | 1136566369 |
| Cube | 38317061998097 |
| Square root | 183.611002 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3713 × |
33713 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and thirteen |
| Binary (base 2) | 1000001110110001 |
| Octal (base 8) | 101661 |
| Hexadecimal (base 16) | 83B1 |
| Base 3 | 1201020122 |
| As time | 33713 seconds = 9 h 21 min 53 s |
Is 33713 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 1) | 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 8) | 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 9) | 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 33713 a prime number?
Yes. 33713 is divisible only by 1 and itself.
What are the factors of 33713?
1, 33713.
What is 33713 in binary?
1000001110110001 (hexadecimal 83B1, octal 101661).
What is the square root of 33713?
About 183.6110.
Is 33713 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33713?
33713 is the 3610th prime number.