The number 8346
8346 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 107. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8346 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8346 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 8346 itself that is 9798, so 8346 is abundant (9798 is more than 8346). Euler's totient φ(8346) = 2544 numbers up to 8346 share no factor with it.
- 4
The digits of 8346 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8346 = 2 \times 3 \times 13 \times 107 \]
8346 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 2544 |
| Square | 69655716 |
| Cube | 581346605736 |
| Square root | 91.356445 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.346 × |
8346 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and forty-six |
| Binary (base 2) | 10000010011010 |
| Octal (base 8) | 20232 |
| Hexadecimal (base 16) | 209A |
| Base 3 | 102110010 |
| As time | 8346 seconds = 2 h 19 min 6 s |
Is 8346 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8346 ÷ 2 = 4173) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8346 ÷ 3 = 2782) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8346 ÷ 6 = 1391) | 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 2) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8346 a prime number?
No. 8346 = 2 × 3 × 13 × 107, so it is divisible by 2.
What are the factors of 8346?
1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346.
What is 8346 in binary?
10000010011010 (hexadecimal 209A, octal 20232).
What is the square root of 8346?
About 91.3564.
Is 8346 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8346?
It is a composite number with 16 divisors.