The number 33349
33349 is a twin prime (33347 and 33349 are both prime) and the 3572nd prime number. Its only divisors are 1 and 33349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33349: a twin prime (33347 and 33349 are both prime); the 3572nd prime number.
- 2
33349 is prime, so its only factors are 1 and 33349. It is the 3572nd prime; the next prime is 33353 and the one before is 33347.
- 3
The divisors add up to 33350; without 33349 itself that is 1, so 33349 is deficient (1 is less than 33349). Euler's totient φ(33349) = 33348 numbers up to 33349 share no factor with it.
- 4
The digits of 33349 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
33349 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33350 |
| Euler totient φ(n) | 33348 |
| Square | 1112155801 |
| Cube | 37089283807549 |
| Square root | 182.617086 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3349 × |
33349 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and forty-nine |
| Binary (base 2) | 1000001001000101 |
| Octal (base 8) | 101105 |
| Hexadecimal (base 16) | 8245 |
| Base 3 | 1200202011 |
| As time | 33349 seconds = 9 h 15 min 49 s |
Is 33349 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 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33349 a prime number?
Yes. 33349 is divisible only by 1 and itself.
What are the factors of 33349?
1, 33349.
What is 33349 in binary?
1000001001000101 (hexadecimal 8245, octal 101105).
What is the square root of 33349?
About 182.6171.
Is 33349 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33349?
33349 is a twin prime (33347 and 33349 are both prime); the 3572nd prime number.