The number 29429
29429 is the 3198th prime number. Its only divisors are 1 and 29429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29429: the 3198th prime number.
- 2
29429 is prime, so its only factors are 1 and 29429. It is the 3198th prime; the next prime is 29437 and the one before is 29423.
- 3
The divisors add up to 29430; without 29429 itself that is 1, so 29429 is deficient (1 is less than 29429). Euler's totient φ(29429) = 29428 numbers up to 29429 share no factor with it.
- 4
The digits of 29429 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
29429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29430 |
| Euler totient φ(n) | 29428 |
| Square | 866066041 |
| Cube | 25487457520589 |
| Square root | 171.548827 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9429 × |
29429 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and twenty-nine |
| Binary (base 2) | 111001011110101 |
| Octal (base 8) | 71365 |
| Hexadecimal (base 16) | 72F5 |
| Base 3 | 1111100222 |
| As time | 29429 seconds = 8 h 10 min 29 s |
Is 29429 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 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 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 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 29429 a prime number?
Yes. 29429 is divisible only by 1 and itself.
What are the factors of 29429?
1, 29429.
What is 29429 in binary?
111001011110101 (hexadecimal 72F5, octal 71365).
What is the square root of 29429?
About 171.5488.
Is 29429 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 29429?
29429 is the 3198th prime number.