The number 60384
60384 is a composite number with 48 divisors. Its prime factorisation is × 3 × 17 × 37. Divisors (48): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 37, 48, 51, 68 … 60384.
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How to work it out
- 1
60384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60384 is composite. Its prime factorisation is
- 3
The divisors add up to 172368; without 60384 itself that is 111984, so 60384 is abundant (111984 is more than 60384). Euler's totient φ(60384) = 18432 numbers up to 60384 share no factor with it.
- 4
The digits of 60384 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60384 = 2^{5} \times 3 \times 17 \times 37 \]60384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 172368 |
| Euler totient φ(n) | 18432 |
| Square | 3646227456 |
| Cube | 220173798703104 |
| Square root | 245.731561 (= 4√3774) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.0384 × |
60384 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and eighty-four |
| Binary (base 2) | 1110101111100000 |
| Octal (base 8) | 165740 |
| Hexadecimal (base 16) | EBE0 |
| Base 3 | 10001211110 |
| As time | 60384 seconds = 16 h 46 min 24 s |
Is 60384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60384 ÷ 2 = 30192) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60384 ÷ 3 = 20128) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60384 ÷ 4 = 15096) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60384 ÷ 6 = 10064) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (60384 ÷ 8 = 7548) | 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 | No (remainder 4) | 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 | Yes (60384 ÷ 12 = 5032) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60384 a prime number?
No. 60384 = × 3 × 17 × 37, so it is divisible by 2.
What are the factors of 60384?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 37, 48, 51, 68, 74, 96, 102, 111, 136, 148, 204, 222, 272, 296, 408, 444, 544, 592, 629, 816, 888, 1184, 1258, 1632, 1776, 1887, 2516, 3552, 3774, 5032, 7548, 10064, 15096, 20128, 30192, 60384.
What is 60384 in binary?
1110101111100000 (hexadecimal EBE0, octal 165740).
What is the square root of 60384?
About 245.7316, exactly 4√3774.
Is 60384 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 60384?
It is a composite number with 48 divisors.