The number 42767
42767 is the 4472nd prime number. Its only divisors are 1 and 42767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42767: the 4472nd prime number.
- 2
42767 is prime, so its only factors are 1 and 42767. It is the 4472nd prime; the next prime is 42773 and the one before is 42751.
- 3
The divisors add up to 42768; without 42767 itself that is 1, so 42767 is deficient (1 is less than 42767). Euler's totient φ(42767) = 42766 numbers up to 42767 share no factor with it.
- 4
The digits of 42767 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 150 steps to reach 1.
42767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42768 |
| Euler totient φ(n) | 42766 |
| Square | 1829016289 |
| Cube | 78221539631663 |
| Square root | 206.801838 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2767 × |
42767 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and sixty-seven |
| Binary (base 2) | 1010011100001111 |
| Octal (base 8) | 123417 |
| Hexadecimal (base 16) | A70F |
| Base 3 | 2011122222 |
| As time | 42767 seconds = 11 h 52 min 47 s |
Is 42767 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 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 7) | 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 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 42767 a prime number?
Yes. 42767 is divisible only by 1 and itself.
What are the factors of 42767?
1, 42767.
What is 42767 in binary?
1010011100001111 (hexadecimal A70F, octal 123417).
What is the square root of 42767?
About 206.8018.
Is 42767 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42767?
42767 is the 4472nd prime number.