The number 38290
38290 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 547. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 547, 1094, 2735, 3829, 5470, 7658, 19145, 38290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38290 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38290 is composite. Its prime factorisation is
- 3
The divisors add up to 78912; without 38290 itself that is 40622, so 38290 is abundant (40622 is more than 38290). Euler's totient φ(38290) = 13104 numbers up to 38290 share no factor with it.
- 4
The digits of 38290 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38290 = 2 \times 5 \times 7 \times 547 \]
38290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78912 |
| Euler totient φ(n) | 13104 |
| Square | 1466124100 |
| Cube | 56137891789000 |
| Square root | 195.678307 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.829 × |
38290 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and ninety |
| Binary (base 2) | 1001010110010010 |
| Octal (base 8) | 112622 |
| Hexadecimal (base 16) | 9592 |
| Base 3 | 1221112011 |
| As time | 38290 seconds = 10 h 38 min 10 s |
Is 38290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38290 ÷ 2 = 19145) | 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 (38290 ÷ 5 = 7658) | 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 | Yes (38290 ÷ 7 = 5470) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38290 ÷ 10 = 3829) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 38290 a prime number?
No. 38290 = 2 × 5 × 7 × 547, so it is divisible by 2.
What are the factors of 38290?
1, 2, 5, 7, 10, 14, 35, 70, 547, 1094, 2735, 3829, 5470, 7658, 19145, 38290.
What is 38290 in binary?
1001010110010010 (hexadecimal 9592, octal 112622).
What is the square root of 38290?
About 195.6783.
Is 38290 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38290?
It is a composite number with 16 divisors.