The number 8349
8349 is a composite number with 12 divisors. Its prime factorisation is 3 × × 23. Divisors (12): 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8349 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8349 is composite. Its prime factorisation is
- 3
The divisors add up to 12768; without 8349 itself that is 4419, so 8349 is deficient (4419 is less than 8349). Euler's totient φ(8349) = 4840 numbers up to 8349 share no factor with it.
- 4
The digits of 8349 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8349 = 3 \times 11^{2} \times 23 \]8349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 12768 |
| Euler totient φ(n) | 4840 |
| Square | 69705801 |
| Cube | 581973732549 |
| Square root | 91.372862 (= 11√69) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.349 × |
8349 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and forty-nine |
| Binary (base 2) | 10000010011101 |
| Octal (base 8) | 20235 |
| Hexadecimal (base 16) | 209D |
| Base 3 | 102110020 |
| As time | 8349 seconds = 2 h 19 min 9 s |
Is 8349 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 (8349 ÷ 3 = 2783) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 (8349 ÷ 11 = 759) | 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 8349 a prime number?
No. 8349 = 3 × × 23, so it is divisible by 3.
What are the factors of 8349?
1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349.
What is 8349 in binary?
10000010011101 (hexadecimal 209D, octal 20235).
What is the square root of 8349?
About 91.3729, exactly 11√69.
Is 8349 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8349?
It is a composite number with 12 divisors.