The number 849
849 is a composite number with 4 divisors. Its prime factorisation is 3 × 283. Divisors (4): 1, 3, 283, 849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 849: a semiprime: 3 × 283, the product of two primes.
- 2
849 is composite. Its prime factorisation is
- 3
The divisors add up to 1136; without 849 itself that is 287, so 849 is deficient (287 is less than 849). Euler's totient φ(849) = 564 numbers up to 849 share no factor with it.
- 4
The digits of 849 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 849 = 3 \times 283 \]
849 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1136 |
| Euler totient φ(n) | 564 |
| Square | 720801 |
| Cube | 611960049 |
| Square root | 29.137605 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 59 |
| Scientific notation | 8.49 × |
849 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and forty-nine |
| Roman numerals | DCCCXLIX |
| Binary (base 2) | 1101010001 |
| Octal (base 8) | 1521 |
| Hexadecimal (base 16) | 351 |
| Base 3 | 1011110 |
| As time | 849 seconds = 14 min 9 s |
Is 849 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 (849 ÷ 3 = 283) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 849 a prime number?
No. 849 = 3 × 283, so it is divisible by 3.
What are the factors of 849?
1, 3, 283, 849.
What is 849 in binary?
1101010001 (hexadecimal 351, octal 1521).
What is the square root of 849?
About 29.1376.
What is 849 in Roman numerals?
DCCCXLIX.
Is 849 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 849?
849 is a semiprime: 3 × 283, the product of two primes.