The number 34429
34429 is the 3678th prime number. Its only divisors are 1 and 34429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34429: the 3678th prime number.
- 2
34429 is prime, so its only factors are 1 and 34429. It is the 3678th prime; the next prime is 34439 and the one before is 34421.
- 3
The divisors add up to 34430; without 34429 itself that is 1, so 34429 is deficient (1 is less than 34429). Euler's totient φ(34429) = 34428 numbers up to 34429 share no factor with it.
- 4
The digits of 34429 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
34429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 34430 |
| Euler totient φ(n) | 34428 |
| Square | 1185356041 |
| Cube | 40810623135589 |
| Square root | 185.550532 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4429 × |
34429 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and twenty-nine |
| Binary (base 2) | 1000011001111101 |
| Octal (base 8) | 103175 |
| Hexadecimal (base 16) | 867D |
| Base 3 | 1202020011 |
| As time | 34429 seconds = 9 h 33 min 49 s |
Is 34429 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 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 4) | 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 10) | 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 34429 a prime number?
Yes. 34429 is divisible only by 1 and itself.
What are the factors of 34429?
1, 34429.
What is 34429 in binary?
1000011001111101 (hexadecimal 867D, octal 103175).
What is the square root of 34429?
About 185.5505.
Is 34429 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 34429?
34429 is the 3678th prime number.