The number 53775
53775 is a composite number with 18 divisors. Its prime factorisation is × × 239. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 225, 239, 717, 1195, 2151, 3585, 5975, 10755 … 53775.
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How to work it out
- 1
53775 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53775 is composite. Its prime factorisation is
- 3
The divisors add up to 96720; without 53775 itself that is 42945, so 53775 is deficient (42945 is less than 53775). Euler's totient φ(53775) = 28560 numbers up to 53775 share no factor with it.
- 4
The digits of 53775 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53775 = 3^{2} \times 5^{2} \times 239 \]53775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 96720 |
| Euler totient φ(n) | 28560 |
| Square | 2891750625 |
| Cube | 155503889859375 |
| Square root | 231.894373 (= 15√239) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.3775 × |
53775 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and seventy-five |
| Binary (base 2) | 1101001000001111 |
| Octal (base 8) | 151017 |
| Hexadecimal (base 16) | D20F |
| Base 3 | 2201202200 |
| As time | 53775 seconds = 14 h 56 min 15 s |
Is 53775 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53775 ÷ 3 = 17925) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53775 ÷ 5 = 10755) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53775 ÷ 9 = 5975) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53775 a prime number?
No. 53775 = × × 239, so it is divisible by 3.
What are the factors of 53775?
1, 3, 5, 9, 15, 25, 45, 75, 225, 239, 717, 1195, 2151, 3585, 5975, 10755, 17925, 53775.
What is 53775 in binary?
1101001000001111 (hexadecimal D20F, octal 151017).
What is the square root of 53775?
About 231.8944, exactly 15√239.
Is 53775 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53775?
It is a composite number with 18 divisors.