The number 67155
67155 is a composite number with 24 divisors. Its prime factorisation is 3 × 5 × × 37. Divisors (24): 1, 3, 5, 11, 15, 33, 37, 55, 111, 121, 165, 185, 363, 407, 555, 605 … 67155.
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How to work it out
- 1
67155 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67155 is composite. Its prime factorisation is
- 3
The divisors add up to 121296; without 67155 itself that is 54141, so 67155 is deficient (54141 is less than 67155). Euler's totient φ(67155) = 31680 numbers up to 67155 share no factor with it.
- 4
The digits of 67155 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 236 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67155 = 3 \times 5 \times 11^{2} \times 37 \]67155 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 121296 |
| Euler totient φ(n) | 31680 |
| Square | 4509794025 |
| Cube | 302855217748875 |
| Square root | 259.142818 (= 11√555) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 236 |
| Scientific notation | 6.7155 × |
67155 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and fifty-five |
| Binary (base 2) | 10000011001010011 |
| Octal (base 8) | 203123 |
| Hexadecimal (base 16) | 10653 |
| Base 3 | 10102010020 |
| As time | 67155 seconds = 18 h 39 min 15 s |
Is 67155 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 (67155 ÷ 3 = 22385) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67155 ÷ 5 = 13431) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67155 ÷ 11 = 6105) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67155 a prime number?
No. 67155 = 3 × 5 × × 37, so it is divisible by 3.
What are the factors of 67155?
1, 3, 5, 11, 15, 33, 37, 55, 111, 121, 165, 185, 363, 407, 555, 605, 1221, 1815, 2035, 4477, 6105, 13431, 22385, 67155.
What is 67155 in binary?
10000011001010011 (hexadecimal 10653, octal 203123).
What is the square root of 67155?
About 259.1428, exactly 11√555.
Is 67155 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67155?
It is a composite number with 24 divisors.