The number 884
884 is a composite number with 12 divisors. Its prime factorisation is × 13 × 17. Divisors (12): 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
884 is composite. Its prime factorisation is
- 3
The divisors add up to 1764; without 884 itself that is 880, so 884 is deficient (880 is less than 884). Euler's totient φ(884) = 384 numbers up to 884 share no factor with it.
- 4
The digits of 884 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 884 = 2^{2} \times 13 \times 17 \]884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1764 |
| Euler totient φ(n) | 384 |
| Square | 781456 |
| Cube | 690807104 |
| Square root | 29.732137 (= 2√221) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 8.84 × |
884 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and eighty-four |
| Roman numerals | DCCCLXXXIV |
| Binary (base 2) | 1101110100 |
| Octal (base 8) | 1564 |
| Hexadecimal (base 16) | 374 |
| Base 3 | 1012202 |
| As time | 884 seconds = 14 min 44 s |
Is 884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (884 ÷ 2 = 442) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (884 ÷ 4 = 221) | 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 | No (remainder 2) | 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 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 884 a prime number?
No. 884 = × 13 × 17, so it is divisible by 2.
What are the factors of 884?
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884.
What is 884 in binary?
1101110100 (hexadecimal 374, octal 1564).
What is the square root of 884?
About 29.7321, exactly 2√221.
What is 884 in Roman numerals?
DCCCLXXXIV.
Is 884 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 884?
It is a composite number with 12 divisors.