The number 33149
33149 is a twin prime (33149 and 33151 are both prime) and the 3552nd prime number. Its only divisors are 1 and 33149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33149: a twin prime (33149 and 33151 are both prime); the 3552nd prime number.
- 2
33149 is prime, so its only factors are 1 and 33149. It is the 3552nd prime; the next prime is 33151 and the one before is 33119.
- 3
The divisors add up to 33150; without 33149 itself that is 1, so 33149 is deficient (1 is less than 33149). Euler's totient φ(33149) = 33148 numbers up to 33149 share no factor with it.
- 4
The digits of 33149 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
33149 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33150 |
| Euler totient φ(n) | 33148 |
| Square | 1098856201 |
| Cube | 36425984206949 |
| Square root | 182.068668 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3149 × |
33149 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and forty-nine |
| Binary (base 2) | 1000000101111101 |
| Octal (base 8) | 100575 |
| Hexadecimal (base 16) | 817D |
| Base 3 | 1200110202 |
| As time | 33149 seconds = 9 h 12 min 29 s |
Is 33149 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 4) | 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 2) | 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 6) | 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 33149 a prime number?
Yes. 33149 is divisible only by 1 and itself.
What are the factors of 33149?
1, 33149.
What is 33149 in binary?
1000000101111101 (hexadecimal 817D, octal 100575).
What is the square root of 33149?
About 182.0687.
Is 33149 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33149?
33149 is a twin prime (33149 and 33151 are both prime); the 3552nd prime number.