The number 8664
8664 is a composite number with 24 divisors. Its prime factorisation is × 3 × . Divisors (24): 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361 … 8664.
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How to work it out
- 1
What is special about 8664: a Harshad number: divisible by its digit sum 24.
- 2
8664 is composite. Its prime factorisation is
- 3
The divisors add up to 22860; without 8664 itself that is 14196, so 8664 is abundant (14196 is more than 8664). Euler's totient φ(8664) = 2736 numbers up to 8664 share no factor with it.
- 4
The digits of 8664 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8664 = 2^{3} \times 3 \times 19^{2} \]8664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22860 |
| Euler totient φ(n) | 2736 |
| Square | 75064896 |
| Cube | 650362258944 |
| Square root | 93.080610 (= 38√6) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.664 × |
8664 in other forms
| Form | Value |
|---|---|
| In words | eight thousand six hundred and sixty-four |
| Binary (base 2) | 10000111011000 |
| Octal (base 8) | 20730 |
| Hexadecimal (base 16) | 21D8 |
| Base 3 | 102212220 |
| As time | 8664 seconds = 2 h 24 min 24 s |
Is 8664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8664 ÷ 2 = 4332) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8664 ÷ 3 = 2888) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8664 ÷ 4 = 2166) | 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 (8664 ÷ 6 = 1444) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (8664 ÷ 8 = 1083) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8664 ÷ 12 = 722) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8664 a prime number?
No. 8664 = × 3 × , so it is divisible by 2.
What are the factors of 8664?
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664.
What is 8664 in binary?
10000111011000 (hexadecimal 21D8, octal 20730).
What is the square root of 8664?
About 93.0806, exactly 38√6.
Is 8664 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8664?
8664 is a Harshad number: divisible by its digit sum 24.