The number 24443
24443 is the 2714th prime number. Its only divisors are 1 and 24443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24443: the 2714th prime number.
- 2
24443 is prime, so its only factors are 1 and 24443. It is the 2714th prime; the next prime is 24469 and the one before is 24439.
- 3
The divisors add up to 24444; without 24443 itself that is 1, so 24443 is deficient (1 is less than 24443). Euler's totient φ(24443) = 24442 numbers up to 24443 share no factor with it.
- 4
The digits of 24443 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 95 steps to reach 1.
24443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24444 |
| Euler totient φ(n) | 24442 |
| Square | 597460249 |
| Cube | 14603720866307 |
| Square root | 156.342573 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4443 × |
24443 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and forty-three |
| Binary (base 2) | 101111101111011 |
| Octal (base 8) | 57573 |
| Hexadecimal (base 16) | 5F7B |
| Base 3 | 1020112022 |
| As time | 24443 seconds = 6 h 47 min 23 s |
Is 24443 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24443 a prime number?
Yes. 24443 is divisible only by 1 and itself.
What are the factors of 24443?
1, 24443.
What is 24443 in binary?
101111101111011 (hexadecimal 5F7B, octal 57573).
What is the square root of 24443?
About 156.3426.
Is 24443 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24443?
24443 is the 2714th prime number.