The number 87165
87165 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 149. Divisors (24): 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 149, 195, 447, 585, 745, 1341 … 87165.
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How to work it out
- 1
87165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87165 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 87165 itself that is 76635, so 87165 is deficient (76635 is less than 87165). Euler's totient φ(87165) = 42624 numbers up to 87165 share no factor with it.
- 4
The digits of 87165 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87165 = 3^{2} \times 5 \times 13 \times 149 \]87165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 42624 |
| Square | 7597737225 |
| Cube | 662256765217125 |
| Square root | 295.237193 (= 3√9685) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7165 × |
87165 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and sixty-five |
| Binary (base 2) | 10101010001111101 |
| Octal (base 8) | 252175 |
| Hexadecimal (base 16) | 1547D |
| Base 3 | 11102120100 |
| As time | 87165 seconds = 24 h 12 min 45 s |
Is 87165 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 (87165 ÷ 3 = 29055) | 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 | Yes (87165 ÷ 5 = 17433) | 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 1) | 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 | Yes (87165 ÷ 9 = 9685) | 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 | No (remainder 1) | 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 87165 a prime number?
No. 87165 = × 5 × 13 × 149, so it is divisible by 3.
What are the factors of 87165?
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 149, 195, 447, 585, 745, 1341, 1937, 2235, 5811, 6705, 9685, 17433, 29055, 87165.
What is 87165 in binary?
10101010001111101 (hexadecimal 1547D, octal 252175).
What is the square root of 87165?
About 295.2372, exactly 3√9685.
Is 87165 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87165?
It is a composite number with 24 divisors.