The number 87684
87684 is a composite number with 12 divisors. Its prime factorisation is × 3 × 7307. Divisors (12): 1, 2, 3, 4, 6, 12, 7307, 14614, 21921, 29228, 43842, 87684.
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How to work it out
- 1
87684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87684 is composite. Its prime factorisation is
- 3
The divisors add up to 204624; without 87684 itself that is 116940, so 87684 is abundant (116940 is more than 87684). Euler's totient φ(87684) = 29224 numbers up to 87684 share no factor with it.
- 4
The digits of 87684 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87684 = 2^{2} \times 3 \times 7307 \]87684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 204624 |
| Euler totient φ(n) | 29224 |
| Square | 7688483856 |
| Cube | 674157018429504 |
| Square root | 296.114843 (= 2√21921) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.7684 × |
87684 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and eighty-four |
| Binary (base 2) | 10101011010000100 |
| Octal (base 8) | 253204 |
| Hexadecimal (base 16) | 15684 |
| Base 3 | 11110021120 |
| As time | 87684 seconds = 24 h 21 min 24 s |
Is 87684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87684 ÷ 2 = 43842) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87684 ÷ 3 = 29228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87684 ÷ 4 = 21921) | 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 (87684 ÷ 6 = 14614) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87684 ÷ 12 = 7307) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87684 a prime number?
No. 87684 = × 3 × 7307, so it is divisible by 2.
What are the factors of 87684?
1, 2, 3, 4, 6, 12, 7307, 14614, 21921, 29228, 43842, 87684.
What is 87684 in binary?
10101011010000100 (hexadecimal 15684, octal 253204).
What is the square root of 87684?
About 296.1148, exactly 2√21921.
Is 87684 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 87684?
It is a composite number with 12 divisors.