The number 42727
42727 is the 4468th prime number. Its only divisors are 1 and 42727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42727: the 4468th prime number.
- 2
42727 is prime, so its only factors are 1 and 42727. It is the 4468th prime; the next prime is 42737 and the one before is 42719.
- 3
The divisors add up to 42728; without 42727 itself that is 1, so 42727 is deficient (1 is less than 42727). Euler's totient φ(42727) = 42726 numbers up to 42727 share no factor with it.
- 4
The digits of 42727 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
42727 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42728 |
| Euler totient φ(n) | 42726 |
| Square | 1825596529 |
| Cube | 78002262894583 |
| Square root | 206.705104 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2727 × |
42727 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and twenty-seven |
| Binary (base 2) | 1010011011100111 |
| Octal (base 8) | 123347 |
| Hexadecimal (base 16) | A6E7 |
| Base 3 | 2011121111 |
| As time | 42727 seconds = 11 h 52 min 7 s |
Is 42727 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 2) | 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 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 42727 a prime number?
Yes. 42727 is divisible only by 1 and itself.
What are the factors of 42727?
1, 42727.
What is 42727 in binary?
1010011011100111 (hexadecimal A6E7, octal 123347).
What is the square root of 42727?
About 206.7051.
Is 42727 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42727?
42727 is the 4468th prime number.