The number 53755
53755 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 827. Divisors (8): 1, 5, 13, 65, 827, 4135, 10751, 53755.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53755: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53755 is composite. Its prime factorisation is
- 3
The divisors add up to 69552; without 53755 itself that is 15797, so 53755 is deficient (15797 is less than 53755). Euler's totient φ(53755) = 39648 numbers up to 53755 share no factor with it.
- 4
The digits of 53755 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53755 = 5 \times 13 \times 827 \]
53755 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69552 |
| Euler totient φ(n) | 39648 |
| Square | 2889600025 |
| Cube | 155330449343875 |
| Square root | 231.851245 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.3755 × |
53755 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and fifty-five |
| Binary (base 2) | 1101000111111011 |
| Octal (base 8) | 150773 |
| Hexadecimal (base 16) | D1FB |
| Base 3 | 2201201221 |
| As time | 53755 seconds = 14 h 55 min 55 s |
Is 53755 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 | No (remainder 1) | 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 (53755 ÷ 5 = 10751) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53755 a prime number?
No. 53755 = 5 × 13 × 827, so it is divisible by 5.
What are the factors of 53755?
1, 5, 13, 65, 827, 4135, 10751, 53755.
What is 53755 in binary?
1101000111111011 (hexadecimal D1FB, octal 150773).
What is the square root of 53755?
About 231.8512.
Is 53755 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53755?
53755 is a happy number: repeatedly adding the squares of its digits reaches 1.