The number 29443
29443 is the 3200th prime number. Its only divisors are 1 and 29443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29443: the 3200th prime number.
- 2
29443 is prime, so its only factors are 1 and 29443. It is the 3200th prime; the next prime is 29453 and the one before is 29437.
- 3
The divisors add up to 29444; without 29443 itself that is 1, so 29443 is deficient (1 is less than 29443). Euler's totient φ(29443) = 29442 numbers up to 29443 share no factor with it.
- 4
The digits of 29443 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 165 steps to reach 1.
29443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29444 |
| Euler totient φ(n) | 29442 |
| Square | 866890249 |
| Cube | 25523849601307 |
| Square root | 171.589627 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9443 × |
29443 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and forty-three |
| Binary (base 2) | 111001100000011 |
| Octal (base 8) | 71403 |
| Hexadecimal (base 16) | 7303 |
| Base 3 | 1111101111 |
| As time | 29443 seconds = 8 h 10 min 43 s |
Is 29443 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 3) | 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 1) | 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 3) | 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 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29443 a prime number?
Yes. 29443 is divisible only by 1 and itself.
What are the factors of 29443?
1, 29443.
What is 29443 in binary?
111001100000011 (hexadecimal 7303, octal 71403).
What is the square root of 29443?
About 171.5896.
Is 29443 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 29443?
29443 is the 3200th prime number.