The number 87184
87184 is a composite number with 10 divisors. Its prime factorisation is × 5449. Divisors (10): 1, 2, 4, 8, 16, 5449, 10898, 21796, 43592, 87184.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87184 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87184 is composite. Its prime factorisation is
- 3
The divisors add up to 168950; without 87184 itself that is 81766, so 87184 is deficient (81766 is less than 87184). Euler's totient φ(87184) = 43584 numbers up to 87184 share no factor with it.
- 4
The digits of 87184 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87184 = 2^{4} \times 5449 \]87184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 168950 |
| Euler totient φ(n) | 43584 |
| Square | 7601049856 |
| Cube | 662689930645504 |
| Square root | 295.269369 (= 4√5449) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7184 × |
87184 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and eighty-four |
| Binary (base 2) | 10101010010010000 |
| Octal (base 8) | 252220 |
| Hexadecimal (base 16) | 15490 |
| Base 3 | 11102121001 |
| As time | 87184 seconds = 24 h 13 min 4 s |
Is 87184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87184 ÷ 2 = 43592) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87184 ÷ 4 = 21796) | 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 4) | 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 | Yes (87184 ÷ 8 = 10898) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87184 a prime number?
No. 87184 = × 5449, so it is divisible by 2.
What are the factors of 87184?
1, 2, 4, 8, 16, 5449, 10898, 21796, 43592, 87184.
What is 87184 in binary?
10101010010010000 (hexadecimal 15490, octal 252220).
What is the square root of 87184?
About 295.2694, exactly 4√5449.
Is 87184 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87184?
It is a composite number with 10 divisors.