The number 33029
33029 is the 3541st prime number. Its only divisors are 1 and 33029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33029: the 3541st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33029 is prime, so its only factors are 1 and 33029. It is the 3541st prime; the next prime is 33037 and the one before is 33023.
- 3
The divisors add up to 33030; without 33029 itself that is 1, so 33029 is deficient (1 is less than 33029). Euler's totient φ(33029) = 33028 numbers up to 33029 share no factor with it.
- 4
The digits of 33029 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 191 steps to reach 1.
33029 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33030 |
| Euler totient φ(n) | 33028 |
| Square | 1090914841 |
| Cube | 36031826283389 |
| Square root | 181.738824 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.3029 × |
33029 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and twenty-nine |
| Binary (base 2) | 1000000100000101 |
| Octal (base 8) | 100405 |
| Hexadecimal (base 16) | 8105 |
| Base 3 | 1200022022 |
| As time | 33029 seconds = 9 h 10 min 29 s |
Is 33029 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 3) | 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 7) | 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 33029 a prime number?
Yes. 33029 is divisible only by 1 and itself.
What are the factors of 33029?
1, 33029.
What is 33029 in binary?
1000000100000101 (hexadecimal 8105, octal 100405).
What is the square root of 33029?
About 181.7388.
Is 33029 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33029?
33029 is the 3541st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.