The number 42703
42703 is a twin prime (42701 and 42703 are both prime) and the 4465th prime number. Its only divisors are 1 and 42703.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42703: a twin prime (42701 and 42703 are both prime); the 4465th prime number.
- 2
42703 is prime, so its only factors are 1 and 42703. It is the 4465th prime; the next prime is 42709 and the one before is 42701.
- 3
The divisors add up to 42704; without 42703 itself that is 1, so 42703 is deficient (1 is less than 42703). Euler's totient φ(42703) = 42702 numbers up to 42703 share no factor with it.
- 4
The digits of 42703 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 256 steps to reach 1.
42703 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42704 |
| Euler totient φ(n) | 42702 |
| Square | 1823546209 |
| Cube | 77870893762927 |
| Square root | 206.647042 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 256 |
| Scientific notation | 4.2703 × |
42703 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and three |
| Binary (base 2) | 1010011011001111 |
| Octal (base 8) | 123317 |
| Hexadecimal (base 16) | A6CF |
| Base 3 | 2011120121 |
| As time | 42703 seconds = 11 h 51 min 43 s |
Is 42703 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 3) | 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 7) | 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 42703 a prime number?
Yes. 42703 is divisible only by 1 and itself.
What are the factors of 42703?
1, 42703.
What is 42703 in binary?
1010011011001111 (hexadecimal A6CF, octal 123317).
What is the square root of 42703?
About 206.6470.
Is 42703 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42703?
42703 is a twin prime (42701 and 42703 are both prime); the 4465th prime number.