The number 8616
8616 is a composite number with 16 divisors. Its prime factorisation is × 3 × 359. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8616 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 8616 itself that is 12984, so 8616 is abundant (12984 is more than 8616). Euler's totient φ(8616) = 2864 numbers up to 8616 share no factor with it.
- 4
The digits of 8616 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8616 = 2^{3} \times 3 \times 359 \]8616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 2864 |
| Square | 74235456 |
| Cube | 639612688896 |
| Square root | 92.822411 (= 2√2154) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.616 × |
8616 in other forms
| Form | Value |
|---|---|
| In words | eight thousand six hundred and sixteen |
| Binary (base 2) | 10000110101000 |
| Octal (base 8) | 20650 |
| Hexadecimal (base 16) | 21A8 |
| Base 3 | 102211010 |
| As time | 8616 seconds = 2 h 23 min 36 s |
Is 8616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8616 ÷ 2 = 4308) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8616 ÷ 3 = 2872) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8616 ÷ 4 = 2154) | 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 (8616 ÷ 6 = 1436) | 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 (8616 ÷ 8 = 1077) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8616 ÷ 12 = 718) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8616 a prime number?
No. 8616 = × 3 × 359, so it is divisible by 2.
What are the factors of 8616?
1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616.
What is 8616 in binary?
10000110101000 (hexadecimal 21A8, octal 20650).
What is the square root of 8616?
About 92.8224, exactly 2√2154.
Is 8616 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8616?
It is a composite number with 16 divisors.