The number 8449
8449 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 71. Divisors (8): 1, 7, 17, 71, 119, 497, 1207, 8449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8449 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8449 is composite. Its prime factorisation is
- 3
The divisors add up to 10368; without 8449 itself that is 1919, so 8449 is deficient (1919 is less than 8449). Euler's totient φ(8449) = 6720 numbers up to 8449 share no factor with it.
- 4
The digits of 8449 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8449 = 7 \times 17 \times 71 \]
8449 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10368 |
| Euler totient φ(n) | 6720 |
| Square | 71385601 |
| Cube | 603136942849 |
| Square root | 91.918442 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 8.449 × |
8449 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and forty-nine |
| Binary (base 2) | 10000100000001 |
| Octal (base 8) | 20401 |
| Hexadecimal (base 16) | 2101 |
| Base 3 | 102120221 |
| As time | 8449 seconds = 2 h 20 min 49 s |
Is 8449 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8449 ÷ 7 = 1207) | 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 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8449 a prime number?
No. 8449 = 7 × 17 × 71, so it is divisible by 7.
What are the factors of 8449?
1, 7, 17, 71, 119, 497, 1207, 8449.
What is 8449 in binary?
10000100000001 (hexadecimal 2101, octal 20401).
What is the square root of 8449?
About 91.9184.
Is 8449 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 8449?
It is a composite number with 8 divisors.