The number 42533
42533 is the 4449th prime number. Its only divisors are 1 and 42533.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42533: the 4449th prime number.
- 2
42533 is prime, so its only factors are 1 and 42533. It is the 4449th prime; the next prime is 42557 and the one before is 42509.
- 3
The divisors add up to 42534; without 42533 itself that is 1, so 42533 is deficient (1 is less than 42533). Euler's totient φ(42533) = 42532 numbers up to 42533 share no factor with it.
- 4
The digits of 42533 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
42533 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42534 |
| Euler totient φ(n) | 42532 |
| Square | 1809056089 |
| Cube | 76944582633437 |
| Square root | 206.235303 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2533 × |
42533 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and thirty-three |
| Binary (base 2) | 1010011000100101 |
| Octal (base 8) | 123045 |
| Hexadecimal (base 16) | A625 |
| Base 3 | 2011100022 |
| As time | 42533 seconds = 11 h 48 min 53 s |
Is 42533 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 3) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 42533 a prime number?
Yes. 42533 is divisible only by 1 and itself.
What are the factors of 42533?
1, 42533.
What is 42533 in binary?
1010011000100101 (hexadecimal A625, octal 123045).
What is the square root of 42533?
About 206.2353.
Is 42533 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42533?
42533 is the 4449th prime number.