The number 42967
42967 is the 4492nd prime number. Its only divisors are 1 and 42967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42967: the 4492nd prime number.
- 2
42967 is prime, so its only factors are 1 and 42967. It is the 4492nd prime; the next prime is 42979 and the one before is 42961.
- 3
The divisors add up to 42968; without 42967 itself that is 1, so 42967 is deficient (1 is less than 42967). Euler's totient φ(42967) = 42966 numbers up to 42967 share no factor with it.
- 4
The digits of 42967 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
42967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42968 |
| Euler totient φ(n) | 42966 |
| Square | 1846163089 |
| Cube | 79324089445063 |
| Square root | 207.284828 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2967 × |
42967 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and sixty-seven |
| Binary (base 2) | 1010011111010111 |
| Octal (base 8) | 123727 |
| Hexadecimal (base 16) | A7D7 |
| Base 3 | 2011221101 |
| As time | 42967 seconds = 11 h 56 min 7 s |
Is 42967 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 1) | 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 1) | 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 1) | 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 42967 a prime number?
Yes. 42967 is divisible only by 1 and itself.
What are the factors of 42967?
1, 42967.
What is 42967 in binary?
1010011111010111 (hexadecimal A7D7, octal 123727).
What is the square root of 42967?
About 207.2848.
Is 42967 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 42967?
42967 is the 4492nd prime number.