The number 38355
38355 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 2557. Divisors (8): 1, 3, 5, 15, 2557, 7671, 12785, 38355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38355 is composite. Its prime factorisation is
- 3
The divisors add up to 61392; without 38355 itself that is 23037, so 38355 is deficient (23037 is less than 38355). Euler's totient φ(38355) = 20448 numbers up to 38355 share no factor with it.
- 4
The digits of 38355 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 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38355 = 3 \times 5 \times 2557 \]
38355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61392 |
| Euler totient φ(n) | 20448 |
| Square | 1471106025 |
| Cube | 56424271588875 |
| Square root | 195.844326 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8355 × |
38355 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and fifty-five |
| Binary (base 2) | 1001010111010011 |
| Octal (base 8) | 112723 |
| Hexadecimal (base 16) | 95D3 |
| Base 3 | 1221121120 |
| As time | 38355 seconds = 10 h 39 min 15 s |
Is 38355 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 (38355 ÷ 3 = 12785) | 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 (38355 ÷ 5 = 7671) | 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 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 38355 a prime number?
No. 38355 = 3 × 5 × 2557, so it is divisible by 3.
What are the factors of 38355?
1, 3, 5, 15, 2557, 7671, 12785, 38355.
What is 38355 in binary?
1001010111010011 (hexadecimal 95D3, octal 112723).
What is the square root of 38355?
About 195.8443.
Is 38355 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38355?
It is a composite number with 8 divisors.