The number 53184
53184 is a composite number with 28 divisors. Its prime factorisation is × 3 × 277. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 277, 554 … 53184.
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How to work it out
- 1
53184 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53184 is composite. Its prime factorisation is
- 3
The divisors add up to 141224; without 53184 itself that is 88040, so 53184 is abundant (88040 is more than 53184). Euler's totient φ(53184) = 17664 numbers up to 53184 share no factor with it.
- 4
The digits of 53184 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53184 = 2^{6} \times 3 \times 277 \]53184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 141224 |
| Euler totient φ(n) | 17664 |
| Square | 2828537856 |
| Cube | 150432957333504 |
| Square root | 230.616565 (= 8√831) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3184 × |
53184 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and eighty-four |
| Binary (base 2) | 1100111111000000 |
| Octal (base 8) | 147700 |
| Hexadecimal (base 16) | CFC0 |
| Base 3 | 2200221210 |
| As time | 53184 seconds = 14 h 46 min 24 s |
Is 53184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53184 ÷ 2 = 26592) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53184 ÷ 3 = 17728) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53184 ÷ 4 = 13296) | 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 (53184 ÷ 6 = 8864) | 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 (53184 ÷ 8 = 6648) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53184 ÷ 12 = 4432) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53184 a prime number?
No. 53184 = × 3 × 277, so it is divisible by 2.
What are the factors of 53184?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 277, 554, 831, 1108, 1662, 2216, 3324, 4432, 6648, 8864, 13296, 17728, 26592, 53184.
What is 53184 in binary?
1100111111000000 (hexadecimal CFC0, octal 147700).
What is the square root of 53184?
About 230.6166, exactly 8√831.
Is 53184 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53184?
It is a composite number with 28 divisors.