The number 8350
8350 is a composite number with 12 divisors. Its prime factorisation is 2 × × 167. Divisors (12): 1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8350 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8350 is composite. Its prime factorisation is
- 3
The divisors add up to 15624; without 8350 itself that is 7274, so 8350 is deficient (7274 is less than 8350). Euler's totient φ(8350) = 3320 numbers up to 8350 share no factor with it.
- 4
The digits of 8350 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8350 = 2 \times 5^{2} \times 167 \]8350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15624 |
| Euler totient φ(n) | 3320 |
| Square | 69722500 |
| Cube | 582182875000 |
| Square root | 91.378334 (= 5√334) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.35 × |
8350 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and fifty |
| Binary (base 2) | 10000010011110 |
| Octal (base 8) | 20236 |
| Hexadecimal (base 16) | 209E |
| Base 3 | 102110021 |
| As time | 8350 seconds = 2 h 19 min 10 s |
Is 8350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8350 ÷ 2 = 4175) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8350 ÷ 5 = 1670) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 | Yes (8350 ÷ 10 = 835) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8350 a prime number?
No. 8350 = 2 × × 167, so it is divisible by 2.
What are the factors of 8350?
1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350.
What is 8350 in binary?
10000010011110 (hexadecimal 209E, octal 20236).
What is the square root of 8350?
About 91.3783, exactly 5√334.
Is 8350 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 8350?
It is a composite number with 12 divisors.