The number 38380
38380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 101. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 101, 190, 202, 380, 404, 505 … 38380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38380 is composite. Its prime factorisation is
- 3
The divisors add up to 85680; without 38380 itself that is 47300, so 38380 is abundant (47300 is more than 38380). Euler's totient φ(38380) = 14400 numbers up to 38380 share no factor with it.
- 4
The digits of 38380 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38380 = 2^{2} \times 5 \times 19 \times 101 \]38380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 85680 |
| Euler totient φ(n) | 14400 |
| Square | 1473024400 |
| Cube | 56534676472000 |
| Square root | 195.908142 (= 2√9595) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.838 × |
38380 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and eighty |
| Binary (base 2) | 1001010111101100 |
| Octal (base 8) | 112754 |
| Hexadecimal (base 16) | 95EC |
| Base 3 | 1221122111 |
| As time | 38380 seconds = 10 h 39 min 40 s |
Is 38380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38380 ÷ 2 = 19190) | 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 (38380 ÷ 4 = 9595) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38380 ÷ 5 = 7676) | 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 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 (38380 ÷ 10 = 3838) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38380 a prime number?
No. 38380 = × 5 × 19 × 101, so it is divisible by 2.
What are the factors of 38380?
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 101, 190, 202, 380, 404, 505, 1010, 1919, 2020, 3838, 7676, 9595, 19190, 38380.
What is 38380 in binary?
1001010111101100 (hexadecimal 95EC, octal 112754).
What is the square root of 38380?
About 195.9081, exactly 2√9595.
Is 38380 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38380?
It is a composite number with 24 divisors.