The number 882
882 is a composite number with 18 divisors. Its prime factorisation is 2 × × . Divisors (18): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294 … 882.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 882: a Harshad number: divisible by its digit sum 18.
- 2
882 is composite. Its prime factorisation is
- 3
The divisors add up to 2223; without 882 itself that is 1341, so 882 is abundant (1341 is more than 882). Euler's totient φ(882) = 252 numbers up to 882 share no factor with it.
- 4
The digits of 882 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 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 882 = 2 \times 3^{2} \times 7^{2} \]882 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 2223 |
| Euler totient φ(n) | 252 |
| Square | 777924 |
| Cube | 686128968 |
| Square root | 29.698485 (= 21√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 28 |
| Scientific notation | 8.82 × |
882 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and eighty-two |
| Roman numerals | DCCCLXXXII |
| Binary (base 2) | 1101110010 |
| Octal (base 8) | 1562 |
| Hexadecimal (base 16) | 372 |
| Base 3 | 1012200 |
| As time | 882 seconds = 14 min 42 s |
Is 882 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (882 ÷ 2 = 441) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (882 ÷ 3 = 294) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (882 ÷ 6 = 147) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (882 ÷ 7 = 126) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (882 ÷ 9 = 98) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 882 a prime number?
No. 882 = 2 × × , so it is divisible by 2.
What are the factors of 882?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.
What is 882 in binary?
1101110010 (hexadecimal 372, octal 1562).
What is the square root of 882?
About 29.6985, exactly 21√2.
What is 882 in Roman numerals?
DCCCLXXXII.
Is 882 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 882?
882 is a Harshad number: divisible by its digit sum 18.