The number 42089
42089 is the 4402nd prime number. Its only divisors are 1 and 42089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42089: the 4402nd prime number.
- 2
42089 is prime, so its only factors are 1 and 42089. It is the 4402nd prime; the next prime is 42101 and the one before is 42083.
- 3
The divisors add up to 42090; without 42089 itself that is 1, so 42089 is deficient (1 is less than 42089). Euler's totient φ(42089) = 42088 numbers up to 42089 share no factor with it.
- 4
The digits of 42089 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
42089 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42090 |
| Euler totient φ(n) | 42088 |
| Square | 1771483921 |
| Cube | 74559986750969 |
| Square root | 205.156038 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.2089 × |
42089 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and eighty-nine |
| Binary (base 2) | 1010010001101001 |
| Octal (base 8) | 122151 |
| Hexadecimal (base 16) | A469 |
| Base 3 | 2010201212 |
| As time | 42089 seconds = 11 h 41 min 29 s |
Is 42089 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 5) | 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 5) | 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 3) | 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 42089 a prime number?
Yes. 42089 is divisible only by 1 and itself.
What are the factors of 42089?
1, 42089.
What is 42089 in binary?
1010010001101001 (hexadecimal A469, octal 122151).
What is the square root of 42089?
About 205.1560.
Is 42089 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42089?
42089 is the 4402nd prime number.