The number 43133
43133 is the 4506th prime number. Its only divisors are 1 and 43133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43133: the 4506th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43133 is prime, so its only factors are 1 and 43133. It is the 4506th prime; the next prime is 43151 and the one before is 43117.
- 3
The divisors add up to 43134; without 43133 itself that is 1, so 43133 is deficient (1 is less than 43133). Euler's totient φ(43133) = 43132 numbers up to 43133 share no factor with it.
- 4
The digits of 43133 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 150 steps to reach 1.
43133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43134 |
| Euler totient φ(n) | 43132 |
| Square | 1860455689 |
| Cube | 80247035233637 |
| Square root | 207.684857 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.3133 × |
43133 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and thirty-three |
| Binary (base 2) | 1010100001111101 |
| Octal (base 8) | 124175 |
| Hexadecimal (base 16) | A87D |
| Base 3 | 2012011112 |
| As time | 43133 seconds = 11 h 58 min 53 s |
Is 43133 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 6) | 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 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 2) | 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 43133 a prime number?
Yes. 43133 is divisible only by 1 and itself.
What are the factors of 43133?
1, 43133.
What is 43133 in binary?
1010100001111101 (hexadecimal A87D, octal 124175).
What is the square root of 43133?
About 207.6849.
Is 43133 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 43133?
43133 is the 4506th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.