The number 87164
87164 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 283. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 283, 308, 566, 1132, 1981 … 87164.
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How to work it out
- 1
87164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87164 is composite. Its prime factorisation is
- 3
The divisors add up to 190848; without 87164 itself that is 103684, so 87164 is abundant (103684 is more than 87164). Euler's totient φ(87164) = 33840 numbers up to 87164 share no factor with it.
- 4
The digits of 87164 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87164 = 2^{2} \times 7 \times 11 \times 283 \]87164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 190848 |
| Euler totient φ(n) | 33840 |
| Square | 7597562896 |
| Cube | 662233972266944 |
| Square root | 295.235499 (= 2√21791) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7164 × |
87164 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and sixty-four |
| Binary (base 2) | 10101010001111100 |
| Octal (base 8) | 252174 |
| Hexadecimal (base 16) | 1547C |
| Base 3 | 11102120022 |
| As time | 87164 seconds = 24 h 12 min 44 s |
Is 87164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87164 ÷ 2 = 43582) | 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 | Yes (87164 ÷ 4 = 21791) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87164 ÷ 7 = 12452) | 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 8) | 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 | Yes (87164 ÷ 11 = 7924) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87164 a prime number?
No. 87164 = × 7 × 11 × 283, so it is divisible by 2.
What are the factors of 87164?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 283, 308, 566, 1132, 1981, 3113, 3962, 6226, 7924, 12452, 21791, 43582, 87164.
What is 87164 in binary?
10101010001111100 (hexadecimal 1547C, octal 252174).
What is the square root of 87164?
About 295.2355, exactly 2√21791.
Is 87164 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 87164?
It is a composite number with 24 divisors.