The number 67164
67164 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 193. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 193, 348, 386, 579, 772 … 67164.
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How to work it out
- 1
67164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67164 is composite. Its prime factorisation is
- 3
The divisors add up to 162960; without 67164 itself that is 95796, so 67164 is abundant (95796 is more than 67164). Euler's totient φ(67164) = 21504 numbers up to 67164 share no factor with it.
- 4
The digits of 67164 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67164 = 2^{2} \times 3 \times 29 \times 193 \]67164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 162960 |
| Euler totient φ(n) | 21504 |
| Square | 4511002896 |
| Cube | 302976998506944 |
| Square root | 259.160182 (= 2√16791) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7164 × |
67164 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and sixty-four |
| Binary (base 2) | 10000011001011100 |
| Octal (base 8) | 203134 |
| Hexadecimal (base 16) | 1065C |
| Base 3 | 10102010120 |
| As time | 67164 seconds = 18 h 39 min 24 s |
Is 67164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67164 ÷ 2 = 33582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67164 ÷ 3 = 22388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67164 ÷ 4 = 16791) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67164 ÷ 6 = 11194) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67164 ÷ 12 = 5597) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67164 a prime number?
No. 67164 = × 3 × 29 × 193, so it is divisible by 2.
What are the factors of 67164?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 193, 348, 386, 579, 772, 1158, 2316, 5597, 11194, 16791, 22388, 33582, 67164.
What is 67164 in binary?
10000011001011100 (hexadecimal 1065C, octal 203134).
What is the square root of 67164?
About 259.1602, exactly 2√16791.
Is 67164 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67164?
It is a composite number with 24 divisors.