The number 53784
53784 is a composite number with 40 divisors. Its prime factorisation is × × 83. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 83 … 53784.
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How to work it out
- 1
What is special about 53784: a Harshad number: divisible by its digit sum 27.
- 2
53784 is composite. Its prime factorisation is
- 3
The divisors add up to 152460; without 53784 itself that is 98676, so 53784 is abundant (98676 is more than 53784). Euler's totient φ(53784) = 17712 numbers up to 53784 share no factor with it.
- 4
The digits of 53784 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53784 = 2^{3} \times 3^{4} \times 83 \]53784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 152460 |
| Euler totient φ(n) | 17712 |
| Square | 2892718656 |
| Cube | 155581980194304 |
| Square root | 231.913777 (= 18√166) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3784 × |
53784 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and eighty-four |
| Binary (base 2) | 1101001000011000 |
| Octal (base 8) | 151030 |
| Hexadecimal (base 16) | D218 |
| Base 3 | 2201210000 |
| As time | 53784 seconds = 14 h 56 min 24 s |
Is 53784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53784 ÷ 2 = 26892) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53784 ÷ 3 = 17928) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53784 ÷ 4 = 13446) | 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 (53784 ÷ 6 = 8964) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (53784 ÷ 8 = 6723) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53784 ÷ 9 = 5976) | 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 (53784 ÷ 12 = 4482) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53784 a prime number?
No. 53784 = × × 83, so it is divisible by 2.
What are the factors of 53784?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 83, 108, 162, 166, 216, 249, 324, 332, 498, 648, 664, 747, 996, 1494, 1992, 2241, 2988, 4482, 5976, 6723, 8964, 13446, 17928, 26892, 53784.
What is 53784 in binary?
1101001000011000 (hexadecimal D218, octal 151030).
What is the square root of 53784?
About 231.9138, exactly 18√166.
Is 53784 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53784?
53784 is a Harshad number: divisible by its digit sum 27.