The number 38357
38357 is a composite number with 6 divisors. Its prime factorisation is Ć 317. Divisors (6): 1, 11, 121, 317, 3487, 38357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38357 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38357 is composite. Its prime factorisation is
- 3
The divisors add up to 42294; without 38357 itself that is 3937, so 38357 is deficient (3937 is less than 38357). Euler's totient Ļ(38357) = 34760 numbers up to 38357 share no factor with it.
- 4
The digits of 38357 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38357 = 11^{2} \times 317 \]38357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 42294 |
| Euler totient Ļ(n) | 34760 |
| Square | 1471259449 |
| Cube | 56433098685293 |
| Square root | 195.849432 (= 11ā317) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8357 Ć |
38357 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and fifty-seven |
| Binary (base 2) | 1001010111010101 |
| Octal (base 8) | 112725 |
| Hexadecimal (base 16) | 95D5 |
| Base 3 | 1221121122 |
| As time | 38357 seconds = 10 h 39 min 17 s |
Is 38357 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 | No (remainder 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38357 Ć· 11 = 3487) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38357 a prime number?
No. 38357 = Ć 317, so it is divisible by 11.
What are the factors of 38357?
1, 11, 121, 317, 3487, 38357.
What is 38357 in binary?
1001010111010101 (hexadecimal 95D5, octal 112725).
What is the square root of 38357?
About 195.8494, exactly 11ā317.
Is 38357 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 38357?
It is a composite number with 6 divisors.