The number 6133
6133 is a twin prime (6131 and 6133 are both prime) and the 800th prime number. Its only divisors are 1 and 6133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6133: a twin prime (6131 and 6133 are both prime); the 800th prime number.
- 2
6133 is prime, so its only factors are 1 and 6133. It is the 800th prime; the next prime is 6143 and the one before is 6131.
- 3
The divisors add up to 6134; without 6133 itself that is 1, so 6133 is deficient (1 is less than 6133). Euler's totient φ(6133) = 6132 numbers up to 6133 share no factor with it.
- 4
The digits of 6133 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
6133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6134 |
| Euler totient φ(n) | 6132 |
| Square | 37613689 |
| Cube | 230684754637 |
| Square root | 78.313473 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 6.133 × |
6133 in other forms
| Form | Value |
|---|---|
| In words | six thousand one hundred and thirty-three |
| Binary (base 2) | 1011111110101 |
| Octal (base 8) | 13765 |
| Hexadecimal (base 16) | 17F5 |
| Base 3 | 22102011 |
| As time | 6133 seconds = 1 h 42 min 13 s |
Is 6133 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 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6133 a prime number?
Yes. 6133 is divisible only by 1 and itself.
What are the factors of 6133?
1, 6133.
What is 6133 in binary?
1011111110101 (hexadecimal 17F5, octal 13765).
What is the square root of 6133?
About 78.3135.
Is 6133 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 6133?
6133 is a twin prime (6131 and 6133 are both prime); the 800th prime number.