The number 38680
38680 is a composite number with 16 divisors. Its prime factorisation is × 5 × 967. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 967, 1934, 3868, 4835, 7736, 9670, 19340, 38680.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38680 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38680 is composite. Its prime factorisation is
- 3
The divisors add up to 87120; without 38680 itself that is 48440, so 38680 is abundant (48440 is more than 38680). Euler's totient φ(38680) = 15456 numbers up to 38680 share no factor with it.
- 4
The digits of 38680 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38680 = 2^{3} \times 5 \times 967 \]38680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87120 |
| Euler totient φ(n) | 15456 |
| Square | 1496142400 |
| Cube | 57870788032000 |
| Square root | 196.672316 (= 2√9670) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.868 × |
38680 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and eighty |
| Binary (base 2) | 1001011100011000 |
| Octal (base 8) | 113430 |
| Hexadecimal (base 16) | 9718 |
| Base 3 | 1222001121 |
| As time | 38680 seconds = 10 h 44 min 40 s |
Is 38680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38680 ÷ 2 = 19340) | 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 (38680 ÷ 4 = 9670) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38680 ÷ 5 = 7736) | 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 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 | Yes (38680 ÷ 8 = 4835) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38680 ÷ 10 = 3868) | 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 38680 a prime number?
No. 38680 = × 5 × 967, so it is divisible by 2.
What are the factors of 38680?
1, 2, 4, 5, 8, 10, 20, 40, 967, 1934, 3868, 4835, 7736, 9670, 19340, 38680.
What is 38680 in binary?
1001011100011000 (hexadecimal 9718, octal 113430).
What is the square root of 38680?
About 196.6723, exactly 2√9670.
Is 38680 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38680?
It is a composite number with 16 divisors.