The number 29033
29033 is the 3159th prime number. Its only divisors are 1 and 29033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29033: the 3159th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29033 is prime, so its only factors are 1 and 29033. It is the 3159th prime; the next prime is 29059 and the one before is 29027.
- 3
The divisors add up to 29034; without 29033 itself that is 1, so 29033 is deficient (1 is less than 29033). Euler's totient φ(29033) = 29032 numbers up to 29033 share no factor with it.
- 4
The digits of 29033 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 121 steps to reach 1.
29033 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29034 |
| Euler totient φ(n) | 29032 |
| Square | 842915089 |
| Cube | 24472353778937 |
| Square root | 170.390727 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.9033 × |
29033 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and thirty-three |
| Binary (base 2) | 111000101101001 |
| Octal (base 8) | 70551 |
| Hexadecimal (base 16) | 7169 |
| Base 3 | 1110211022 |
| As time | 29033 seconds = 8 h 3 min 53 s |
Is 29033 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 3) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 29033 a prime number?
Yes. 29033 is divisible only by 1 and itself.
What are the factors of 29033?
1, 29033.
What is 29033 in binary?
111000101101001 (hexadecimal 7169, octal 70551).
What is the square root of 29033?
About 170.3907.
Is 29033 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 29033?
29033 is the 3159th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.