The number 844
844 is a composite number with 6 divisors. Its prime factorisation is × 211. Divisors (6): 1, 2, 4, 211, 422, 844.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
844 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
844 is composite. Its prime factorisation is
- 3
The divisors add up to 1484; without 844 itself that is 640, so 844 is deficient (640 is less than 844). Euler's totient φ(844) = 420 numbers up to 844 share no factor with it.
- 4
The digits of 844 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 844 = 2^{2} \times 211 \]844 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1484 |
| Euler totient φ(n) | 420 |
| Square | 712336 |
| Cube | 601211584 |
| Square root | 29.051678 (= 2√211) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 41 |
| Scientific notation | 8.44 × |
844 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and forty-four |
| Roman numerals | DCCCXLIV |
| Binary (base 2) | 1101001100 |
| Octal (base 8) | 1514 |
| Hexadecimal (base 16) | 34C |
| Base 3 | 1011021 |
| As time | 844 seconds = 14 min 4 s |
Is 844 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (844 ÷ 2 = 422) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (844 ÷ 4 = 211) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 844 a prime number?
No. 844 = × 211, so it is divisible by 2.
What are the factors of 844?
1, 2, 4, 211, 422, 844.
What is 844 in binary?
1101001100 (hexadecimal 34C, octal 1514).
What is the square root of 844?
About 29.0517, exactly 2√211.
What is 844 in Roman numerals?
DCCCXLIV.
Is 844 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 844?
It is a composite number with 6 divisors.