The number 42043
42043 is the 4397th prime number. Its only divisors are 1 and 42043.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42043: the 4397th prime number.
- 2
42043 is prime, so its only factors are 1 and 42043. It is the 4397th prime; the next prime is 42061 and the one before is 42023.
- 3
The divisors add up to 42044; without 42043 itself that is 1, so 42043 is deficient (1 is less than 42043). Euler's totient φ(42043) = 42042 numbers up to 42043 share no factor with it.
- 4
The digits of 42043 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
42043 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42044 |
| Euler totient φ(n) | 42042 |
| Square | 1767613849 |
| Cube | 74315789053507 |
| Square root | 205.043898 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2043 × |
42043 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and forty-three |
| Binary (base 2) | 1010010000111011 |
| Octal (base 8) | 122073 |
| Hexadecimal (base 16) | A43B |
| Base 3 | 2010200011 |
| As time | 42043 seconds = 11 h 40 min 43 s |
Is 42043 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42043 a prime number?
Yes. 42043 is divisible only by 1 and itself.
What are the factors of 42043?
1, 42043.
What is 42043 in binary?
1010010000111011 (hexadecimal A43B, octal 122073).
What is the square root of 42043?
About 205.0439.
Is 42043 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42043?
42043 is the 4397th prime number.