The number 8388
8388 is a composite number with 18 divisors. Its prime factorisation is × × 233. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796 … 8388.
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How to work it out
- 1
8388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8388 is composite. Its prime factorisation is
- 3
The divisors add up to 21294; without 8388 itself that is 12906, so 8388 is abundant (12906 is more than 8388). Euler's totient φ(8388) = 2784 numbers up to 8388 share no factor with it.
- 4
The digits of 8388 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8388 = 2^{2} \times 3^{2} \times 233 \]8388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 21294 |
| Euler totient φ(n) | 2784 |
| Square | 70358544 |
| Cube | 590167467072 |
| Square root | 91.586025 (= 6√233) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.388 × |
8388 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and eighty-eight |
| Binary (base 2) | 10000011000100 |
| Octal (base 8) | 20304 |
| Hexadecimal (base 16) | 20C4 |
| Base 3 | 102111200 |
| As time | 8388 seconds = 2 h 19 min 48 s |
Is 8388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8388 ÷ 2 = 4194) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8388 ÷ 3 = 2796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8388 ÷ 4 = 2097) | 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 (8388 ÷ 6 = 1398) | 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 | Yes (8388 ÷ 9 = 932) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8388 ÷ 12 = 699) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8388 a prime number?
No. 8388 = × × 233, so it is divisible by 2.
What are the factors of 8388?
1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388.
What is 8388 in binary?
10000011000100 (hexadecimal 20C4, octal 20304).
What is the square root of 8388?
About 91.5860, exactly 6√233.
Is 8388 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8388?
It is a composite number with 18 divisors.