The number 43013
43013 is the 4496th prime number. Its only divisors are 1 and 43013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43013: the 4496th prime number.
- 2
43013 is prime, so its only factors are 1 and 43013. It is the 4496th prime; the next prime is 43019 and the one before is 43003.
- 3
The divisors add up to 43014; without 43013 itself that is 1, so 43013 is deficient (1 is less than 43013). Euler's totient φ(43013) = 43012 numbers up to 43013 share no factor with it.
- 4
The digits of 43013 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 75 steps to reach 1.
43013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43014 |
| Euler totient φ(n) | 43012 |
| Square | 1850118169 |
| Cube | 79579132803197 |
| Square root | 207.395757 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.3013 × |
43013 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and thirteen |
| Binary (base 2) | 1010100000000101 |
| Octal (base 8) | 124005 |
| Hexadecimal (base 16) | A805 |
| Base 3 | 2012000002 |
| As time | 43013 seconds = 11 h 56 min 53 s |
Is 43013 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 1) | 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 5) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43013 a prime number?
Yes. 43013 is divisible only by 1 and itself.
What are the factors of 43013?
1, 43013.
What is 43013 in binary?
1010100000000101 (hexadecimal A805, octal 124005).
What is the square root of 43013?
About 207.3958.
Is 43013 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 43013?
43013 is the 4496th prime number.