The number 43427
43427 is the 4528th prime number. Its only divisors are 1 and 43427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43427: the 4528th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43427 is prime, so its only factors are 1 and 43427. It is the 4528th prime; the next prime is 43441 and the one before is 43411.
- 3
The divisors add up to 43428; without 43427 itself that is 1, so 43427 is deficient (1 is less than 43427). Euler's totient φ(43427) = 43426 numbers up to 43427 share no factor with it.
- 4
The digits of 43427 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
43427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43428 |
| Euler totient φ(n) | 43426 |
| Square | 1885904329 |
| Cube | 81899167295483 |
| Square root | 208.391459 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3427 × |
43427 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and twenty-seven |
| Binary (base 2) | 1010100110100011 |
| Octal (base 8) | 124643 |
| Hexadecimal (base 16) | A9A3 |
| Base 3 | 2012120102 |
| As time | 43427 seconds = 12 h 3 min 47 s |
Is 43427 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 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43427 a prime number?
Yes. 43427 is divisible only by 1 and itself.
What are the factors of 43427?
1, 43427.
What is 43427 in binary?
1010100110100011 (hexadecimal A9A3, octal 124643).
What is the square root of 43427?
About 208.3915.
Is 43427 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43427?
43427 is the 4528th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.