The number 38820
38820 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 647. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 647, 1294, 1941, 2588 … 38820.
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How to work it out
- 1
38820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38820 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 38820 itself that is 70044, so 38820 is abundant (70044 is more than 38820). Euler's totient φ(38820) = 10336 numbers up to 38820 share no factor with it.
- 4
The digits of 38820 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38820 = 2^{2} \times 3 \times 5 \times 647 \]38820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 10336 |
| Square | 1506992400 |
| Cube | 58501444968000 |
| Square root | 197.027917 (= 2√9705) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 181 |
| Scientific notation | 3.882 × |
38820 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and twenty |
| Binary (base 2) | 1001011110100100 |
| Octal (base 8) | 113644 |
| Hexadecimal (base 16) | 97A4 |
| Base 3 | 1222020210 |
| As time | 38820 seconds = 10 h 47 min 0 s |
Is 38820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38820 ÷ 2 = 19410) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38820 ÷ 3 = 12940) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38820 ÷ 4 = 9705) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38820 ÷ 5 = 7764) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38820 ÷ 6 = 6470) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38820 ÷ 10 = 3882) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38820 ÷ 12 = 3235) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38820 a prime number?
No. 38820 = × 3 × 5 × 647, so it is divisible by 2.
What are the factors of 38820?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 647, 1294, 1941, 2588, 3235, 3882, 6470, 7764, 9705, 12940, 19410, 38820.
What is 38820 in binary?
1001011110100100 (hexadecimal 97A4, octal 113644).
What is the square root of 38820?
About 197.0279, exactly 2√9705.
Is 38820 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38820?
It is a composite number with 24 divisors.