The number 38590
38590 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 17 × 227. Divisors (16): 1, 2, 5, 10, 17, 34, 85, 170, 227, 454, 1135, 2270, 3859, 7718, 19295, 38590.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38590 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38590 is composite. Its prime factorisation is
- 3
The divisors add up to 73872; without 38590 itself that is 35282, so 38590 is deficient (35282 is less than 38590). Euler's totient φ(38590) = 14464 numbers up to 38590 share no factor with it.
- 4
The digits of 38590 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38590 = 2 \times 5 \times 17 \times 227 \]
38590 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73872 |
| Euler totient φ(n) | 14464 |
| Square | 1489188100 |
| Cube | 57467768779000 |
| Square root | 196.443376 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.859 × |
38590 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and ninety |
| Binary (base 2) | 1001011010111110 |
| Octal (base 8) | 113276 |
| Hexadecimal (base 16) | 96BE |
| Base 3 | 1221221021 |
| As time | 38590 seconds = 10 h 43 min 10 s |
Is 38590 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38590 ÷ 2 = 19295) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (38590 ÷ 5 = 7718) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38590 ÷ 10 = 3859) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38590 a prime number?
No. 38590 = 2 × 5 × 17 × 227, so it is divisible by 2.
What are the factors of 38590?
1, 2, 5, 10, 17, 34, 85, 170, 227, 454, 1135, 2270, 3859, 7718, 19295, 38590.
What is 38590 in binary?
1001011010111110 (hexadecimal 96BE, octal 113276).
What is the square root of 38590?
About 196.4434.
Is 38590 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38590?
It is a composite number with 16 divisors.