The number 43003
43003 is the 4495th prime number. Its only divisors are 1 and 43003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43003: the 4495th prime number.
- 2
43003 is prime, so its only factors are 1 and 43003. It is the 4495th prime; the next prime is 43013 and the one before is 42989.
- 3
The divisors add up to 43004; without 43003 itself that is 1, so 43003 is deficient (1 is less than 43003). Euler's totient φ(43003) = 43002 numbers up to 43003 share no factor with it.
- 4
The digits of 43003 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
43003 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43004 |
| Euler totient φ(n) | 43002 |
| Square | 1849258009 |
| Cube | 79523642161027 |
| Square root | 207.371647 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.3003 × |
43003 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and three |
| Binary (base 2) | 1010011111111011 |
| Octal (base 8) | 123773 |
| Hexadecimal (base 16) | A7FB |
| Base 3 | 2011222201 |
| As time | 43003 seconds = 11 h 56 min 43 s |
Is 43003 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | 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 43003 a prime number?
Yes. 43003 is divisible only by 1 and itself.
What are the factors of 43003?
1, 43003.
What is 43003 in binary?
1010011111111011 (hexadecimal A7FB, octal 123773).
What is the square root of 43003?
About 207.3716.
Is 43003 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 43003?
43003 is the 4495th prime number.