The number 43789
43789 is a twin prime (43787 and 43789 are both prime) and the 4562nd prime number. Its only divisors are 1 and 43789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43789: a twin prime (43787 and 43789 are both prime); the 4562nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43789 is prime, so its only factors are 1 and 43789. It is the 4562nd prime; the next prime is 43793 and the one before is 43787.
- 3
The divisors add up to 43790; without 43789 itself that is 1, so 43789 is deficient (1 is less than 43789). Euler's totient φ(43789) = 43788 numbers up to 43789 share no factor with it.
- 4
The digits of 43789 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
43789 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43790 |
| Euler totient φ(n) | 43788 |
| Square | 1917476521 |
| Cube | 83964379378069 |
| Square root | 209.258214 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3789 × |
43789 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and eighty-nine |
| Binary (base 2) | 1010101100001101 |
| Octal (base 8) | 125415 |
| Hexadecimal (base 16) | AB0D |
| Base 3 | 2020001211 |
| As time | 43789 seconds = 12 h 9 min 49 s |
Is 43789 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43789 a prime number?
Yes. 43789 is divisible only by 1 and itself.
What are the factors of 43789?
1, 43789.
What is 43789 in binary?
1010101100001101 (hexadecimal AB0D, octal 125415).
What is the square root of 43789?
About 209.2582.
Is 43789 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 43789?
43789 is a twin prime (43787 and 43789 are both prime); the 4562nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.