The number 87318
87318 is a composite number with 60 divisors. Its prime factorisation is 2 × × × 11. Divisors (60): 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 49, 54 … 87318.
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How to work it out
- 1
What is special about 87318: a Harshad number: divisible by its digit sum 27.
- 2
87318 is composite. Its prime factorisation is
- 3
The divisors add up to 248292; without 87318 itself that is 160974, so 87318 is abundant (160974 is more than 87318). Euler's totient φ(87318) = 22680 numbers up to 87318 share no factor with it.
- 4
The digits of 87318 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87318 = 2 \times 3^{4} \times 7^{2} \times 11 \]87318 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 248292 |
| Euler totient φ(n) | 22680 |
| Square | 7624433124 |
| Cube | 665750251521432 |
| Square root | 295.496193 (= 63√22) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7318 × |
87318 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and eighteen |
| Binary (base 2) | 10101010100010110 |
| Octal (base 8) | 252426 |
| Hexadecimal (base 16) | 15516 |
| Base 3 | 11102210000 |
| As time | 87318 seconds = 24 h 15 min 18 s |
Is 87318 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87318 ÷ 2 = 43659) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87318 ÷ 3 = 29106) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87318 ÷ 6 = 14553) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87318 ÷ 7 = 12474) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87318 ÷ 9 = 9702) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (87318 ÷ 11 = 7938) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87318 a prime number?
No. 87318 = 2 × × × 11, so it is divisible by 2.
What are the factors of 87318?
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 49, 54, 63, 66, 77, 81, 98, 99, 126, 147, 154, 162, 189, 198, 231, 294, 297, 378, 441, 462, 539, 567, 594, 693, 882, 891, 1078, 1134, 1323, 1386, 1617, 1782, 2079, 2646, 3234, 3969, 4158, 4851, 6237, 7938, 9702, 12474, 14553, 29106, 43659, 87318.
What is 87318 in binary?
10101010100010110 (hexadecimal 15516, octal 252426).
What is the square root of 87318?
About 295.4962, exactly 63√22.
Is 87318 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87318?
87318 is a Harshad number: divisible by its digit sum 27.