The number 38390
38390 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 349. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 349, 698, 1745, 3490, 3839, 7678, 19195, 38390.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38390 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38390 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 38390 itself that is 37210, so 38390 is deficient (37210 is less than 38390). Euler's totient φ(38390) = 13920 numbers up to 38390 share no factor with it.
- 4
The digits of 38390 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38390 = 2 \times 5 \times 11 \times 349 \]
38390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 13920 |
| Square | 1473792100 |
| Cube | 56578878719000 |
| Square root | 195.933662 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.839 × |
38390 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and ninety |
| Binary (base 2) | 1001010111110110 |
| Octal (base 8) | 112766 |
| Hexadecimal (base 16) | 95F6 |
| Base 3 | 1221122212 |
| As time | 38390 seconds = 10 h 39 min 50 s |
Is 38390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38390 ÷ 2 = 19195) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38390 ÷ 5 = 7678) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38390 ÷ 10 = 3839) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38390 ÷ 11 = 3490) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38390 a prime number?
No. 38390 = 2 × 5 × 11 × 349, so it is divisible by 2.
What are the factors of 38390?
1, 2, 5, 10, 11, 22, 55, 110, 349, 698, 1745, 3490, 3839, 7678, 19195, 38390.
What is 38390 in binary?
1001010111110110 (hexadecimal 95F6, octal 112766).
What is the square root of 38390?
About 195.9337.
Is 38390 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38390?
It is a composite number with 16 divisors.