The number 38920
38920 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 139. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 139, 140 … 38920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38920 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 38920 itself that is 61880, so 38920 is abundant (61880 is more than 38920). Euler's totient φ(38920) = 13248 numbers up to 38920 share no factor with it.
- 4
The digits of 38920 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38920 = 2^{3} \times 5 \times 7 \times 139 \]38920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 13248 |
| Square | 1514766400 |
| Cube | 58954708288000 |
| Square root | 197.281525 (= 2√9730) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.892 × |
38920 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and twenty |
| Binary (base 2) | 1001100000001000 |
| Octal (base 8) | 114010 |
| Hexadecimal (base 16) | 9808 |
| Base 3 | 1222101111 |
| As time | 38920 seconds = 10 h 48 min 40 s |
Is 38920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38920 ÷ 2 = 19460) | 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 (38920 ÷ 4 = 9730) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38920 ÷ 5 = 7784) | 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 (38920 ÷ 7 = 5560) | 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 | Yes (38920 ÷ 8 = 4865) | 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 (38920 ÷ 10 = 3892) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38920 a prime number?
No. 38920 = × 5 × 7 × 139, so it is divisible by 2.
What are the factors of 38920?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 139, 140, 278, 280, 556, 695, 973, 1112, 1390, 1946, 2780, 3892, 4865, 5560, 7784, 9730, 19460, 38920.
What is 38920 in binary?
1001100000001000 (hexadecimal 9808, octal 114010).
What is the square root of 38920?
About 197.2815, exactly 2√9730.
Is 38920 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38920?
It is a composite number with 32 divisors.