The number 42589
42589 is the 4454th prime number. Its only divisors are 1 and 42589.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42589: the 4454th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42589 is prime, so its only factors are 1 and 42589. It is the 4454th prime; the next prime is 42611 and the one before is 42577.
- 3
The divisors add up to 42590; without 42589 itself that is 1, so 42589 is deficient (1 is less than 42589). Euler's totient φ(42589) = 42588 numbers up to 42589 share no factor with it.
- 4
The digits of 42589 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 57 steps to reach 1.
42589 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42590 |
| Euler totient φ(n) | 42588 |
| Square | 1813822921 |
| Cube | 77248904382469 |
| Square root | 206.371025 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2589 × |
42589 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and eighty-nine |
| Binary (base 2) | 1010011001011101 |
| Octal (base 8) | 123135 |
| Hexadecimal (base 16) | A65D |
| Base 3 | 2011102101 |
| As time | 42589 seconds = 11 h 49 min 49 s |
Is 42589 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 4) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 42589 a prime number?
Yes. 42589 is divisible only by 1 and itself.
What are the factors of 42589?
1, 42589.
What is 42589 in binary?
1010011001011101 (hexadecimal A65D, octal 123135).
What is the square root of 42589?
About 206.3710.
Is 42589 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 42589?
42589 is the 4454th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.