The number 67113
67113 is a composite number with 6 divisors. Its prime factorisation is × 7457. Divisors (6): 1, 3, 9, 7457, 22371, 67113.
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How to work it out
- 1
67113 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67113 is composite. Its prime factorisation is
- 3
The divisors add up to 96954; without 67113 itself that is 29841, so 67113 is deficient (29841 is less than 67113). Euler's totient φ(67113) = 44736 numbers up to 67113 share no factor with it.
- 4
The digits of 67113 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67113 = 3^{2} \times 7457 \]67113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 96954 |
| Euler totient φ(n) | 44736 |
| Square | 4504154769 |
| Cube | 302287339011897 |
| Square root | 259.061769 (= 3√7457) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.7113 × |
67113 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and thirteen |
| Binary (base 2) | 10000011000101001 |
| Octal (base 8) | 203051 |
| Hexadecimal (base 16) | 10629 |
| Base 3 | 10102001200 |
| As time | 67113 seconds = 18 h 38 min 33 s |
Is 67113 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 | Yes (67113 ÷ 3 = 22371) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67113 ÷ 9 = 7457) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67113 a prime number?
No. 67113 = × 7457, so it is divisible by 3.
What are the factors of 67113?
1, 3, 9, 7457, 22371, 67113.
What is 67113 in binary?
10000011000101001 (hexadecimal 10629, octal 203051).
What is the square root of 67113?
About 259.0618, exactly 3√7457.
Is 67113 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67113?
It is a composite number with 6 divisors.