The number 71443
71443 is the 7077th prime number. Its only divisors are 1 and 71443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71443: the 7077th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71443 is prime, so its only factors are 1 and 71443. It is the 7077th prime; the next prime is 71453 and the one before is 71437.
- 3
The divisors add up to 71444; without 71443 itself that is 1, so 71443 is deficient (1 is less than 71443). Euler's totient φ(71443) = 71442 numbers up to 71443 share no factor with it.
- 4
The digits of 71443 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 73 steps to reach 1.
71443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71444 |
| Euler totient φ(n) | 71442 |
| Square | 5104102249 |
| Cube | 364652376975307 |
| Square root | 267.288234 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.1443 × |
71443 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and forty-three |
| Binary (base 2) | 10001011100010011 |
| Octal (base 8) | 213423 |
| Hexadecimal (base 16) | 11713 |
| Base 3 | 10122000001 |
| As time | 71443 seconds = 19 h 50 min 43 s |
Is 71443 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 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 9) | 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 71443 a prime number?
Yes. 71443 is divisible only by 1 and itself.
What are the factors of 71443?
1, 71443.
What is 71443 in binary?
10001011100010011 (hexadecimal 11713, octal 213423).
What is the square root of 71443?
About 267.2882.
Is 71443 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 71443?
71443 is the 7077th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.