The number 43313
43313 is the 4519th prime number. Its only divisors are 1 and 43313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43313: the 4519th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43313 is prime, so its only factors are 1 and 43313. It is the 4519th prime; the next prime is 43319 and the one before is 43291.
- 3
The divisors add up to 43314; without 43313 itself that is 1, so 43313 is deficient (1 is less than 43313). Euler's totient φ(43313) = 43312 numbers up to 43313 share no factor with it.
- 4
The digits of 43313 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
43313 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43314 |
| Euler totient φ(n) | 43312 |
| Square | 1876015969 |
| Cube | 81255879665297 |
| Square root | 208.117755 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.3313 × |
43313 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and thirteen |
| Binary (base 2) | 1010100100110001 |
| Octal (base 8) | 124461 |
| Hexadecimal (base 16) | A931 |
| Base 3 | 2012102012 |
| As time | 43313 seconds = 12 h 1 min 53 s |
Is 43313 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | 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 43313 a prime number?
Yes. 43313 is divisible only by 1 and itself.
What are the factors of 43313?
1, 43313.
What is 43313 in binary?
1010100100110001 (hexadecimal A931, octal 124461).
What is the square root of 43313?
About 208.1178.
Is 43313 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 43313?
43313 is the 4519th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.