The number 53388
53388 is a composite number with 18 divisors. Its prime factorisation is × × 1483. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1483, 2966, 4449, 5932, 8898, 13347, 17796 … 53388.
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How to work it out
- 1
53388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53388 is composite. Its prime factorisation is
- 3
The divisors add up to 135044; without 53388 itself that is 81656, so 53388 is abundant (81656 is more than 53388). Euler's totient φ(53388) = 17784 numbers up to 53388 share no factor with it.
- 4
The digits of 53388 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53388 = 2^{2} \times 3^{2} \times 1483 \]53388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 135044 |
| Euler totient φ(n) | 17784 |
| Square | 2850278544 |
| Cube | 152170670907072 |
| Square root | 231.058434 (= 6√1483) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.3388 × |
53388 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and eighty-eight |
| Binary (base 2) | 1101000010001100 |
| Octal (base 8) | 150214 |
| Hexadecimal (base 16) | D08C |
| Base 3 | 2201020100 |
| As time | 53388 seconds = 14 h 49 min 48 s |
Is 53388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53388 ÷ 2 = 26694) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53388 ÷ 3 = 17796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53388 ÷ 4 = 13347) | 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 | Yes (53388 ÷ 6 = 8898) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53388 ÷ 9 = 5932) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 (53388 ÷ 12 = 4449) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53388 a prime number?
No. 53388 = × × 1483, so it is divisible by 2.
What are the factors of 53388?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1483, 2966, 4449, 5932, 8898, 13347, 17796, 26694, 53388.
What is 53388 in binary?
1101000010001100 (hexadecimal D08C, octal 150214).
What is the square root of 53388?
About 231.0584, exactly 6√1483.
Is 53388 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53388?
It is a composite number with 18 divisors.