The number 38560
38560 is a composite number with 24 divisors. Its prime factorisation is × 5 × 241. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 241, 482, 964, 1205 … 38560.
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How to work it out
- 1
38560 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38560 is composite. Its prime factorisation is
- 3
The divisors add up to 91476; without 38560 itself that is 52916, so 38560 is abundant (52916 is more than 38560). Euler's totient φ(38560) = 15360 numbers up to 38560 share no factor with it.
- 4
The digits of 38560 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 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38560 = 2^{5} \times 5 \times 241 \]38560 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91476 |
| Euler totient φ(n) | 15360 |
| Square | 1486873600 |
| Cube | 57333846016000 |
| Square root | 196.367003 (= 4√2410) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.856 × |
38560 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and sixty |
| Binary (base 2) | 1001011010100000 |
| Octal (base 8) | 113240 |
| Hexadecimal (base 16) | 96A0 |
| Base 3 | 1221220011 |
| As time | 38560 seconds = 10 h 42 min 40 s |
Is 38560 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38560 ÷ 2 = 19280) | 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 (38560 ÷ 4 = 9640) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38560 ÷ 5 = 7712) | 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 4) | 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 (38560 ÷ 8 = 4820) | 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 (38560 ÷ 10 = 3856) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 38560 a prime number?
No. 38560 = × 5 × 241, so it is divisible by 2.
What are the factors of 38560?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 241, 482, 964, 1205, 1928, 2410, 3856, 4820, 7712, 9640, 19280, 38560.
What is 38560 in binary?
1001011010100000 (hexadecimal 96A0, octal 113240).
What is the square root of 38560?
About 196.3670, exactly 4√2410.
Is 38560 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38560?
It is a composite number with 24 divisors.