The number 53163
53163 is a composite number with 16 divisors. Its prime factorisation is × 11 × 179. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 179, 297, 537, 1611, 1969, 4833, 5907, 17721, 53163.
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How to work it out
- 1
53163 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53163 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 53163 itself that is 33237, so 53163 is deficient (33237 is less than 53163). Euler's totient φ(53163) = 32040 numbers up to 53163 share no factor with it.
- 4
The digits of 53163 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53163 = 3^{3} \times 11 \times 179 \]53163 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 32040 |
| Square | 2826304569 |
| Cube | 150254829801747 |
| Square root | 230.571030 (= 3√5907) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3163 × |
53163 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and sixty-three |
| Binary (base 2) | 1100111110101011 |
| Octal (base 8) | 147653 |
| Hexadecimal (base 16) | CFAB |
| Base 3 | 2200221000 |
| As time | 53163 seconds = 14 h 46 min 3 s |
Is 53163 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 (53163 ÷ 3 = 17721) | 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 | No (remainder 3) | 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 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53163 ÷ 9 = 5907) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53163 ÷ 11 = 4833) | 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 53163 a prime number?
No. 53163 = × 11 × 179, so it is divisible by 3.
What are the factors of 53163?
1, 3, 9, 11, 27, 33, 99, 179, 297, 537, 1611, 1969, 4833, 5907, 17721, 53163.
What is 53163 in binary?
1100111110101011 (hexadecimal CFAB, octal 147653).
What is the square root of 53163?
About 230.5710, exactly 3√5907.
Is 53163 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53163?
It is a composite number with 16 divisors.