The number 43889
43889 is a twin prime (43889 and 43891 are both prime) and the 4567th prime number. Its only divisors are 1 and 43889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43889: a twin prime (43889 and 43891 are both prime); the 4567th prime number.
- 2
43889 is prime, so its only factors are 1 and 43889. It is the 4567th prime; the next prime is 43891 and the one before is 43867.
- 3
The divisors add up to 43890; without 43889 itself that is 1, so 43889 is deficient (1 is less than 43889). Euler's totient φ(43889) = 43888 numbers up to 43889 share no factor with it.
- 4
The digits of 43889 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
43889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43890 |
| Euler totient φ(n) | 43888 |
| Square | 1926244321 |
| Cube | 84540937004369 |
| Square root | 209.497017 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3889 × |
43889 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and eighty-nine |
| Binary (base 2) | 1010101101110001 |
| Octal (base 8) | 125561 |
| Hexadecimal (base 16) | AB71 |
| Base 3 | 2020012112 |
| As time | 43889 seconds = 12 h 11 min 29 s |
Is 43889 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43889 a prime number?
Yes. 43889 is divisible only by 1 and itself.
What are the factors of 43889?
1, 43889.
What is 43889 in binary?
1010101101110001 (hexadecimal AB71, octal 125561).
What is the square root of 43889?
About 209.4970.
Is 43889 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 43889?
43889 is a twin prime (43889 and 43891 are both prime); the 4567th prime number.