The number 87443
87443 is the 8489th prime number. Its only divisors are 1 and 87443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87443: the 8489th prime number.
- 2
87443 is prime, so its only factors are 1 and 87443. It is the 8489th prime; the next prime is 87473 and the one before is 87433.
- 3
The divisors add up to 87444; without 87443 itself that is 1, so 87443 is deficient (1 is less than 87443). Euler's totient φ(87443) = 87442 numbers up to 87443 share no factor with it.
- 4
The digits of 87443 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
87443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87444 |
| Euler totient φ(n) | 87442 |
| Square | 7646278249 |
| Cube | 668613508927307 |
| Square root | 295.707626 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7443 × |
87443 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and forty-three |
| Binary (base 2) | 10101010110010011 |
| Octal (base 8) | 252623 |
| Hexadecimal (base 16) | 15593 |
| Base 3 | 11102221122 |
| As time | 87443 seconds = 24 h 17 min 23 s |
Is 87443 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 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 87443 a prime number?
Yes. 87443 is divisible only by 1 and itself.
What are the factors of 87443?
1, 87443.
What is 87443 in binary?
10101010110010011 (hexadecimal 15593, octal 252623).
What is the square root of 87443?
About 295.7076.
Is 87443 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 87443?
87443 is the 8489th prime number.