The number 54443
54443 is the 5540th prime number. Its only divisors are 1 and 54443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54443: the 5540th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54443 is prime, so its only factors are 1 and 54443. It is the 5540th prime; the next prime is 54449 and the one before is 54437.
- 3
The divisors add up to 54444; without 54443 itself that is 1, so 54443 is deficient (1 is less than 54443). Euler's totient φ(54443) = 54442 numbers up to 54443 share no factor with it.
- 4
The digits of 54443 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
54443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 54444 |
| Euler totient φ(n) | 54442 |
| Square | 2964040249 |
| Cube | 161371243276307 |
| Square root | 233.330238 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.4443 × |
54443 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and forty-three |
| Binary (base 2) | 1101010010101011 |
| Octal (base 8) | 152253 |
| Hexadecimal (base 16) | D4AB |
| Base 3 | 2202200102 |
| As time | 54443 seconds = 15 h 7 min 23 s |
Is 54443 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54443 a prime number?
Yes. 54443 is divisible only by 1 and itself.
What are the factors of 54443?
1, 54443.
What is 54443 in binary?
1101010010101011 (hexadecimal D4AB, octal 152253).
What is the square root of 54443?
About 233.3302.
Is 54443 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 54443?
54443 is the 5540th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.