The number 2849
2849 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 37. Divisors (8): 1, 7, 11, 37, 77, 259, 407, 2849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2849 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2849 is composite. Its prime factorisation is
- 3
The divisors add up to 3648; without 2849 itself that is 799, so 2849 is deficient (799 is less than 2849). Euler's totient φ(2849) = 2160 numbers up to 2849 share no factor with it.
- 4
The digits of 2849 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2849 = 7 \times 11 \times 37 \]
2849 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3648 |
| Euler totient φ(n) | 2160 |
| Square | 8116801 |
| Cube | 23124766049 |
| Square root | 53.376025 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 2.849 × |
2849 in other forms
| Form | Value |
|---|---|
| In words | two thousand eight hundred and forty-nine |
| Roman numerals | MMDCCCXLIX |
| Binary (base 2) | 101100100001 |
| Octal (base 8) | 5441 |
| Hexadecimal (base 16) | B21 |
| Base 3 | 10220112 |
| As time | 2849 seconds = 47 min 29 s |
Is 2849 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2849 ÷ 7 = 407) | 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 5) | 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 | Yes (2849 ÷ 11 = 259) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2849 a prime number?
No. 2849 = 7 × 11 × 37, so it is divisible by 7.
What are the factors of 2849?
1, 7, 11, 37, 77, 259, 407, 2849.
What is 2849 in binary?
101100100001 (hexadecimal B21, octal 5441).
What is the square root of 2849?
About 53.3760.
What is 2849 in Roman numerals?
MMDCCCXLIX.
Is 2849 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 2849?
It is a composite number with 8 divisors.