The number 15443
15443 is the 1804th prime number. Its only divisors are 1 and 15443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15443: the 1804th prime number.
- 2
15443 is prime, so its only factors are 1 and 15443. It is the 1804th prime; the next prime is 15451 and the one before is 15439.
- 3
The divisors add up to 15444; without 15443 itself that is 1, so 15443 is deficient (1 is less than 15443). Euler's totient φ(15443) = 15442 numbers up to 15443 share no factor with it.
- 4
The digits of 15443 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 115 steps to reach 1.
15443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15444 |
| Euler totient φ(n) | 15442 |
| Square | 238486249 |
| Cube | 3682943143307 |
| Square root | 124.269868 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.5443 × |
15443 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and forty-three |
| Binary (base 2) | 11110001010011 |
| Octal (base 8) | 36123 |
| Hexadecimal (base 16) | 3C53 |
| Base 3 | 210011222 |
| As time | 15443 seconds = 4 h 17 min 23 s |
Is 15443 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 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 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 10) | 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 15443 a prime number?
Yes. 15443 is divisible only by 1 and itself.
What are the factors of 15443?
1, 15443.
What is 15443 in binary?
11110001010011 (hexadecimal 3C53, octal 36123).
What is the square root of 15443?
About 124.2699.
Is 15443 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 15443?
15443 is the 1804th prime number.