The number 4133
4133 is the 569th prime number. Its only divisors are 1 and 4133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4133: the 569th prime number.
- 2
4133 is prime, so its only factors are 1 and 4133. It is the 569th prime; the next prime is 4139 and the one before is 4129.
- 3
The divisors add up to 4134; without 4133 itself that is 1, so 4133 is deficient (1 is less than 4133). Euler's totient φ(4133) = 4132 numbers up to 4133 share no factor with it.
- 4
The digits of 4133 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 157 steps to reach 1.
4133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4134 |
| Euler totient φ(n) | 4132 |
| Square | 17081689 |
| Cube | 70598620637 |
| Square root | 64.288413 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 157 |
| Scientific notation | 4.133 × |
4133 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and thirty-three |
| Binary (base 2) | 1000000100101 |
| Octal (base 8) | 10045 |
| Hexadecimal (base 16) | 1025 |
| Base 3 | 12200002 |
| As time | 4133 seconds = 1 h 8 min 53 s |
Is 4133 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 3) | 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 8) | 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 4133 a prime number?
Yes. 4133 is divisible only by 1 and itself.
What are the factors of 4133?
1, 4133.
What is 4133 in binary?
1000000100101 (hexadecimal 1025, octal 10045).
What is the square root of 4133?
About 64.2884.
Is 4133 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4133?
4133 is the 569th prime number.