The number 33749
33749 is a twin prime (33749 and 33751 are both prime) and the 3613th prime number. Its only divisors are 1 and 33749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33749: a twin prime (33749 and 33751 are both prime); the 3613th prime number.
- 2
33749 is prime, so its only factors are 1 and 33749. It is the 3613th prime; the next prime is 33751 and the one before is 33739.
- 3
The divisors add up to 33750; without 33749 itself that is 1, so 33749 is deficient (1 is less than 33749). Euler's totient φ(33749) = 33748 numbers up to 33749 share no factor with it.
- 4
The digits of 33749 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
33749 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33750 |
| Euler totient φ(n) | 33748 |
| Square | 1138995001 |
| Cube | 38439942288749 |
| Square root | 183.709009 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3749 × |
33749 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and forty-nine |
| Binary (base 2) | 1000001111010101 |
| Octal (base 8) | 101725 |
| Hexadecimal (base 16) | 83D5 |
| Base 3 | 1201021222 |
| As time | 33749 seconds = 9 h 22 min 29 s |
Is 33749 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 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 2) | 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 5) | 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 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 33749 a prime number?
Yes. 33749 is divisible only by 1 and itself.
What are the factors of 33749?
1, 33749.
What is 33749 in binary?
1000001111010101 (hexadecimal 83D5, octal 101725).
What is the square root of 33749?
About 183.7090.
Is 33749 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 33749?
33749 is a twin prime (33749 and 33751 are both prime); the 3613th prime number.