The number 5382
5382 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 23. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207 … 5382.
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How to work it out
- 1
What is special about 5382: a Harshad number: divisible by its digit sum 18.
- 2
5382 is composite. Its prime factorisation is
- 3
The divisors add up to 13104; without 5382 itself that is 7722, so 5382 is abundant (7722 is more than 5382). Euler's totient φ(5382) = 1584 numbers up to 5382 share no factor with it.
- 4
The digits of 5382 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
\[ 5382 = 2 \times 3^{2} \times 13 \times 23 \]5382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 13104 |
| Euler totient φ(n) | 1584 |
| Square | 28965924 |
| Cube | 155894602968 |
| Square root | 73.362116 (= 3√598) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.382 × |
5382 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and eighty-two |
| Binary (base 2) | 1010100000110 |
| Octal (base 8) | 12406 |
| Hexadecimal (base 16) | 1506 |
| Base 3 | 21101100 |
| As time | 5382 seconds = 1 h 29 min 42 s |
Is 5382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5382 ÷ 2 = 2691) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5382 ÷ 3 = 1794) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5382 ÷ 6 = 897) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5382 ÷ 9 = 598) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5382 a prime number?
No. 5382 = 2 × × 13 × 23, so it is divisible by 2.
What are the factors of 5382?
1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382.
What is 5382 in binary?
1010100000110 (hexadecimal 1506, octal 12406).
What is the square root of 5382?
About 73.3621, exactly 3√598.
Is 5382 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5382?
5382 is a Harshad number: divisible by its digit sum 18.