The number 38020
38020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1901. Divisors (12): 1, 2, 4, 5, 10, 20, 1901, 3802, 7604, 9505, 19010, 38020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38020 is composite. Its prime factorisation is
- 3
The divisors add up to 79884; without 38020 itself that is 41864, so 38020 is abundant (41864 is more than 38020). Euler's totient φ(38020) = 15200 numbers up to 38020 share no factor with it.
- 4
The digits of 38020 add up to 13, 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
\[ 38020 = 2^{2} \times 5 \times 1901 \]38020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 79884 |
| Euler totient φ(n) | 15200 |
| Square | 1445520400 |
| Cube | 54958685608000 |
| Square root | 194.987179 (= 2√9505) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.802 × |
38020 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and twenty |
| Binary (base 2) | 1001010010000100 |
| Octal (base 8) | 112204 |
| Hexadecimal (base 16) | 9484 |
| Base 3 | 1221011011 |
| As time | 38020 seconds = 10 h 33 min 40 s |
Is 38020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38020 ÷ 2 = 19010) | 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 | Yes (38020 ÷ 4 = 9505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38020 ÷ 5 = 7604) | 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 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 4) | 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 (38020 ÷ 10 = 3802) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38020 a prime number?
No. 38020 = × 5 × 1901, so it is divisible by 2.
What are the factors of 38020?
1, 2, 4, 5, 10, 20, 1901, 3802, 7604, 9505, 19010, 38020.
What is 38020 in binary?
1001010010000100 (hexadecimal 9484, octal 112204).
What is the square root of 38020?
About 194.9872, exactly 2√9505.
Is 38020 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 38020?
It is a composite number with 12 divisors.