The number 8355
8355 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 557. Divisors (8): 1, 3, 5, 15, 557, 1671, 2785, 8355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8355 is composite. Its prime factorisation is
- 3
The divisors add up to 13392; without 8355 itself that is 5037, so 8355 is deficient (5037 is less than 8355). Euler's totient φ(8355) = 4448 numbers up to 8355 share no factor with it.
- 4
The digits of 8355 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
\[ 8355 = 3 \times 5 \times 557 \]
8355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13392 |
| Euler totient φ(n) | 4448 |
| Square | 69806025 |
| Cube | 583229338875 |
| Square root | 91.405689 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.355 × |
8355 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and fifty-five |
| Binary (base 2) | 10000010100011 |
| Octal (base 8) | 20243 |
| Hexadecimal (base 16) | 20A3 |
| Base 3 | 102110110 |
| As time | 8355 seconds = 2 h 19 min 15 s |
Is 8355 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 (8355 ÷ 3 = 2785) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8355 ÷ 5 = 1671) | 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 4) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8355 a prime number?
No. 8355 = 3 × 5 × 557, so it is divisible by 3.
What are the factors of 8355?
1, 3, 5, 15, 557, 1671, 2785, 8355.
What is 8355 in binary?
10000010100011 (hexadecimal 20A3, octal 20243).
What is the square root of 8355?
About 91.4057.
Is 8355 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8355?
It is a composite number with 8 divisors.