The number 42403
42403 is the 4433rd prime number. Its only divisors are 1 and 42403.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42403: the 4433rd prime number.
- 2
42403 is prime, so its only factors are 1 and 42403. It is the 4433rd prime; the next prime is 42407 and the one before is 42397.
- 3
The divisors add up to 42404; without 42403 itself that is 1, so 42403 is deficient (1 is less than 42403). Euler's totient φ(42403) = 42402 numbers up to 42403 share no factor with it.
- 4
The digits of 42403 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.
42403 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42404 |
| Euler totient φ(n) | 42402 |
| Square | 1798014409 |
| Cube | 76241204984827 |
| Square root | 205.919887 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2403 × |
42403 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and three |
| Binary (base 2) | 1010010110100011 |
| Octal (base 8) | 122643 |
| Hexadecimal (base 16) | A5A3 |
| Base 3 | 2011011111 |
| As time | 42403 seconds = 11 h 46 min 43 s |
Is 42403 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 4) | 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 9) | 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 42403 a prime number?
Yes. 42403 is divisible only by 1 and itself.
What are the factors of 42403?
1, 42403.
What is 42403 in binary?
1010010110100011 (hexadecimal A5A3, octal 122643).
What is the square root of 42403?
About 205.9199.
Is 42403 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42403?
42403 is the 4433rd prime number.