The number 38090
38090 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 293. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 293, 586, 1465, 2930, 3809, 7618, 19045, 38090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38090 is composite. Its prime factorisation is
- 3
The divisors add up to 74088; without 38090 itself that is 35998, so 38090 is deficient (35998 is less than 38090). Euler's totient φ(38090) = 14016 numbers up to 38090 share no factor with it.
- 4
The digits of 38090 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38090 = 2 \times 5 \times 13 \times 293 \]
38090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74088 |
| Euler totient φ(n) | 14016 |
| Square | 1450848100 |
| Cube | 55262804129000 |
| Square root | 195.166596 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.809 × |
38090 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and ninety |
| Binary (base 2) | 1001010011001010 |
| Octal (base 8) | 112312 |
| Hexadecimal (base 16) | 94CA |
| Base 3 | 1221020202 |
| As time | 38090 seconds = 10 h 34 min 50 s |
Is 38090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38090 ÷ 2 = 19045) | 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 (38090 ÷ 5 = 7618) | 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 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38090 ÷ 10 = 3809) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 38090 a prime number?
No. 38090 = 2 × 5 × 13 × 293, so it is divisible by 2.
What are the factors of 38090?
1, 2, 5, 10, 13, 26, 65, 130, 293, 586, 1465, 2930, 3809, 7618, 19045, 38090.
What is 38090 in binary?
1001010011001010 (hexadecimal 94CA, octal 112312).
What is the square root of 38090?
About 195.1666.
Is 38090 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38090?
It is a composite number with 16 divisors.