The number 33739
33739 is the 3612th prime number. Its only divisors are 1 and 33739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33739: the 3612th prime number.
- 2
33739 is prime, so its only factors are 1 and 33739. It is the 3612th prime; the next prime is 33749 and the one before is 33721.
- 3
The divisors add up to 33740; without 33739 itself that is 1, so 33739 is deficient (1 is less than 33739). Euler's totient φ(33739) = 33738 numbers up to 33739 share no factor with it.
- 4
The digits of 33739 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
33739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33740 |
| Euler totient φ(n) | 33738 |
| Square | 1138320121 |
| Cube | 38405782562419 |
| Square root | 183.681790 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3739 × |
33739 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and thirty-nine |
| Binary (base 2) | 1000001111001011 |
| Octal (base 8) | 101713 |
| Hexadecimal (base 16) | 83CB |
| Base 3 | 1201021121 |
| As time | 33739 seconds = 9 h 22 min 19 s |
Is 33739 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | 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 33739 a prime number?
Yes. 33739 is divisible only by 1 and itself.
What are the factors of 33739?
1, 33739.
What is 33739 in binary?
1000001111001011 (hexadecimal 83CB, octal 101713).
What is the square root of 33739?
About 183.6818.
Is 33739 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33739?
33739 is the 3612th prime number.