The number 43331
43331 is the 4522nd prime number. Its only divisors are 1 and 43331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43331: the 4522nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43331 is prime, so its only factors are 1 and 43331. It is the 4522nd prime; the next prime is 43391 and the one before is 43321.
- 3
The divisors add up to 43332; without 43331 itself that is 1, so 43331 is deficient (1 is less than 43331). Euler's totient φ(43331) = 43330 numbers up to 43331 share no factor with it.
- 4
The digits of 43331 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 101 steps to reach 1.
43331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43332 |
| Euler totient φ(n) | 43330 |
| Square | 1877575561 |
| Cube | 81357226633691 |
| Square root | 208.160995 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.3331 × |
43331 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and thirty-one |
| Binary (base 2) | 1010100101000011 |
| Octal (base 8) | 124503 |
| Hexadecimal (base 16) | A943 |
| Base 3 | 2012102212 |
| As time | 43331 seconds = 12 h 2 min 11 s |
Is 43331 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43331 a prime number?
Yes. 43331 is divisible only by 1 and itself.
What are the factors of 43331?
1, 43331.
What is 43331 in binary?
1010100101000011 (hexadecimal A943, octal 124503).
What is the square root of 43331?
About 208.1610.
Is 43331 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 43331?
43331 is the 4522nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.