The number 42023
42023 is the 4396th prime number. Its only divisors are 1 and 42023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42023: the 4396th prime number.
- 2
42023 is prime, so its only factors are 1 and 42023. It is the 4396th prime; the next prime is 42043 and the one before is 42019.
- 3
The divisors add up to 42024; without 42023 itself that is 1, so 42023 is deficient (1 is less than 42023). Euler's totient φ(42023) = 42022 numbers up to 42023 share no factor with it.
- 4
The digits of 42023 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
42023 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42024 |
| Euler totient φ(n) | 42022 |
| Square | 1765932529 |
| Cube | 74209782666167 |
| Square root | 204.995122 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2023 × |
42023 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and twenty-three |
| Binary (base 2) | 1010010000100111 |
| Octal (base 8) | 122047 |
| Hexadecimal (base 16) | A427 |
| Base 3 | 2010122102 |
| As time | 42023 seconds = 11 h 40 min 23 s |
Is 42023 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 3) | 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 2) | 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 7) | 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 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42023 a prime number?
Yes. 42023 is divisible only by 1 and itself.
What are the factors of 42023?
1, 42023.
What is 42023 in binary?
1010010000100111 (hexadecimal A427, octal 122047).
What is the square root of 42023?
About 204.9951.
Is 42023 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42023?
42023 is the 4396th prime number.