The number 8316
8316 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 11. Divisors (48): 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33 … 8316.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8316: a Harshad number: divisible by its digit sum 18.
- 2
8316 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 8316 itself that is 18564, so 8316 is abundant (18564 is more than 8316). Euler's totient φ(8316) = 2160 numbers up to 8316 share no factor with it.
- 4
The digits of 8316 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8316 = 2^{2} \times 3^{3} \times 7 \times 11 \]8316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 2160 |
| Square | 69155856 |
| Cube | 575100098496 |
| Square root | 91.192105 (= 6√231) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 8.316 × |
8316 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and sixteen |
| Binary (base 2) | 10000001111100 |
| Octal (base 8) | 20174 |
| Hexadecimal (base 16) | 207C |
| Base 3 | 102102000 |
| As time | 8316 seconds = 2 h 18 min 36 s |
Is 8316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8316 ÷ 2 = 4158) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8316 ÷ 3 = 2772) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8316 ÷ 4 = 2079) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8316 ÷ 6 = 1386) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8316 ÷ 7 = 1188) | 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 | Yes (8316 ÷ 9 = 924) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (8316 ÷ 11 = 756) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8316 ÷ 12 = 693) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8316 a prime number?
No. 8316 = × × 7 × 11, so it is divisible by 2.
What are the factors of 8316?
1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316.
What is 8316 in binary?
10000001111100 (hexadecimal 207C, octal 20174).
What is the square root of 8316?
About 91.1921, exactly 6√231.
Is 8316 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8316?
8316 is a Harshad number: divisible by its digit sum 18.