The number 17443
17443 is the 2006th prime number. Its only divisors are 1 and 17443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17443: the 2006th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17443 is prime, so its only factors are 1 and 17443. It is the 2006th prime; the next prime is 17449 and the one before is 17431.
- 3
The divisors add up to 17444; without 17443 itself that is 1, so 17443 is deficient (1 is less than 17443). Euler's totient φ(17443) = 17442 numbers up to 17443 share no factor with it.
- 4
The digits of 17443 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
17443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17444 |
| Euler totient φ(n) | 17442 |
| Square | 304258249 |
| Cube | 5307176637307 |
| Square root | 132.071950 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7443 × |
17443 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and forty-three |
| Binary (base 2) | 100010000100011 |
| Octal (base 8) | 42043 |
| Hexadecimal (base 16) | 4423 |
| Base 3 | 212221001 |
| As time | 17443 seconds = 4 h 50 min 43 s |
Is 17443 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 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 1) | 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 8) | 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 17443 a prime number?
Yes. 17443 is divisible only by 1 and itself.
What are the factors of 17443?
1, 17443.
What is 17443 in binary?
100010000100011 (hexadecimal 4423, octal 42043).
What is the square root of 17443?
About 132.0720.
Is 17443 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 17443?
17443 is the 2006th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.