The number 42689
42689 is the 4462nd prime number. Its only divisors are 1 and 42689.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42689: the 4462nd prime number.
- 2
42689 is prime, so its only factors are 1 and 42689. It is the 4462nd prime; the next prime is 42697 and the one before is 42683.
- 3
The divisors add up to 42690; without 42689 itself that is 1, so 42689 is deficient (1 is less than 42689). Euler's totient φ(42689) = 42688 numbers up to 42689 share no factor with it.
- 4
The digits of 42689 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
42689 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42690 |
| Euler totient φ(n) | 42688 |
| Square | 1822350721 |
| Cube | 77794329928769 |
| Square root | 206.613165 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2689 × |
42689 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and eighty-nine |
| Binary (base 2) | 1010011011000001 |
| Octal (base 8) | 123301 |
| Hexadecimal (base 16) | A6C1 |
| Base 3 | 2011120002 |
| As time | 42689 seconds = 11 h 51 min 29 s |
Is 42689 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42689 a prime number?
Yes. 42689 is divisible only by 1 and itself.
What are the factors of 42689?
1, 42689.
What is 42689 in binary?
1010011011000001 (hexadecimal A6C1, octal 123301).
What is the square root of 42689?
About 206.6132.
Is 42689 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 42689?
42689 is the 4462nd prime number.