The number 33049
33049 is the 3543rd prime number. Its only divisors are 1 and 33049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33049: the 3543rd prime number.
- 2
33049 is prime, so its only factors are 1 and 33049. It is the 3543rd prime; the next prime is 33053 and the one before is 33037.
- 3
The divisors add up to 33050; without 33049 itself that is 1, so 33049 is deficient (1 is less than 33049). Euler's totient φ(33049) = 33048 numbers up to 33049 share no factor with it.
- 4
The digits of 33049 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
33049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33050 |
| Euler totient φ(n) | 33048 |
| Square | 1092236401 |
| Cube | 36097320816649 |
| Square root | 181.793839 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3049 × |
33049 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and forty-nine |
| Binary (base 2) | 1000000100011001 |
| Octal (base 8) | 100431 |
| Hexadecimal (base 16) | 8119 |
| Base 3 | 1200100001 |
| As time | 33049 seconds = 9 h 10 min 49 s |
Is 33049 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 5) | 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 33049 a prime number?
Yes. 33049 is divisible only by 1 and itself.
What are the factors of 33049?
1, 33049.
What is 33049 in binary?
1000000100011001 (hexadecimal 8119, octal 100431).
What is the square root of 33049?
About 181.7938.
Is 33049 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33049?
33049 is the 3543rd prime number.