The number 67133
67133 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 359. Divisors (8): 1, 11, 17, 187, 359, 3949, 6103, 67133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67133 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67133 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 67133 itself that is 10627, so 67133 is deficient (10627 is less than 67133). Euler's totient φ(67133) = 57280 numbers up to 67133 share no factor with it.
- 4
The digits of 67133 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67133 = 11 \times 17 \times 359 \]
67133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 57280 |
| Square | 4506839689 |
| Cube | 302557668841637 |
| Square root | 259.100367 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7133 × |
67133 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and thirty-three |
| Binary (base 2) | 10000011000111101 |
| Octal (base 8) | 203075 |
| Hexadecimal (base 16) | 1063D |
| Base 3 | 10102002102 |
| As time | 67133 seconds = 18 h 38 min 53 s |
Is 67133 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 | Yes (67133 ÷ 11 = 6103) | 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 67133 a prime number?
No. 67133 = 11 × 17 × 359, so it is divisible by 11.
What are the factors of 67133?
1, 11, 17, 187, 359, 3949, 6103, 67133.
What is 67133 in binary?
10000011000111101 (hexadecimal 1063D, octal 203075).
What is the square root of 67133?
About 259.1004.
Is 67133 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67133?
It is a composite number with 8 divisors.