The number 42697
42697 is the 4463rd prime number. Its only divisors are 1 and 42697.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42697: the 4463rd prime number.
- 2
42697 is prime, so its only factors are 1 and 42697. It is the 4463rd prime; the next prime is 42701 and the one before is 42689.
- 3
The divisors add up to 42698; without 42697 itself that is 1, so 42697 is deficient (1 is less than 42697). Euler's totient φ(42697) = 42696 numbers up to 42697 share no factor with it.
- 4
The digits of 42697 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 49 steps to reach 1.
42697 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42698 |
| Euler totient φ(n) | 42696 |
| Square | 1823033809 |
| Cube | 77838074542873 |
| Square root | 206.632524 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2697 × |
42697 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and ninety-seven |
| Binary (base 2) | 1010011011001001 |
| Octal (base 8) | 123311 |
| Hexadecimal (base 16) | A6C9 |
| Base 3 | 2011120101 |
| As time | 42697 seconds = 11 h 51 min 37 s |
Is 42697 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 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 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 1) | 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 6) | 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 42697 a prime number?
Yes. 42697 is divisible only by 1 and itself.
What are the factors of 42697?
1, 42697.
What is 42697 in binary?
1010011011001001 (hexadecimal A6C9, octal 123311).
What is the square root of 42697?
About 206.6325.
Is 42697 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 42697?
42697 is the 4463rd prime number.