The number 5328
5328 is a composite number with 30 divisors. Its prime factorisation is × × 37. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74 … 5328.
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How to work it out
- 1
What is special about 5328: a Harshad number: divisible by its digit sum 18.
- 2
5328 is composite. Its prime factorisation is
- 3
The divisors add up to 15314; without 5328 itself that is 9986, so 5328 is abundant (9986 is more than 5328). Euler's totient φ(5328) = 1728 numbers up to 5328 share no factor with it.
- 4
The digits of 5328 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5328 = 2^{4} \times 3^{2} \times 37 \]5328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 15314 |
| Euler totient φ(n) | 1728 |
| Square | 28387584 |
| Cube | 151249047552 |
| Square root | 72.993150 (= 12√37) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.328 × |
5328 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and twenty-eight |
| Binary (base 2) | 1010011010000 |
| Octal (base 8) | 12320 |
| Hexadecimal (base 16) | 14D0 |
| Base 3 | 21022100 |
| As time | 5328 seconds = 1 h 28 min 48 s |
Is 5328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5328 ÷ 2 = 2664) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5328 ÷ 3 = 1776) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5328 ÷ 4 = 1332) | 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 (5328 ÷ 6 = 888) | 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 | Yes (5328 ÷ 8 = 666) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5328 ÷ 9 = 592) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5328 ÷ 12 = 444) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5328 a prime number?
No. 5328 = × × 37, so it is divisible by 2.
What are the factors of 5328?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328.
What is 5328 in binary?
1010011010000 (hexadecimal 14D0, octal 12320).
What is the square root of 5328?
About 72.9932, exactly 12√37.
Is 5328 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5328?
5328 is a Harshad number: divisible by its digit sum 18.