The number 8883
8883 is a composite number with 16 divisors. Its prime factorisation is × 7 × 47. Divisors (16): 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8883: a Harshad number: divisible by its digit sum 27.
- 2
8883 is composite. Its prime factorisation is
- 3
The divisors add up to 15360; without 8883 itself that is 6477, so 8883 is deficient (6477 is less than 8883). Euler's totient φ(8883) = 4968 numbers up to 8883 share no factor with it.
- 4
The digits of 8883 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8883 = 3^{3} \times 7 \times 47 \]8883 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15360 |
| Euler totient φ(n) | 4968 |
| Square | 78907689 |
| Cube | 700937001387 |
| Square root | 94.249668 (= 3√987) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 8.883 × |
8883 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and eighty-three |
| Binary (base 2) | 10001010110011 |
| Octal (base 8) | 21263 |
| Hexadecimal (base 16) | 22B3 |
| Base 3 | 110012000 |
| As time | 8883 seconds = 2 h 28 min 3 s |
Is 8883 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8883 ÷ 3 = 2961) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8883 ÷ 7 = 1269) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8883 ÷ 9 = 987) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8883 a prime number?
No. 8883 = × 7 × 47, so it is divisible by 3.
What are the factors of 8883?
1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883.
What is 8883 in binary?
10001010110011 (hexadecimal 22B3, octal 21263).
What is the square root of 8883?
About 94.2497, exactly 3√987.
Is 8883 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8883?
8883 is a Harshad number: divisible by its digit sum 27.