The number 5385
5385 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 359. Divisors (8): 1, 3, 5, 15, 359, 1077, 1795, 5385.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5385 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5385 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 5385 itself that is 3255, so 5385 is deficient (3255 is less than 5385). Euler's totient φ(5385) = 2864 numbers up to 5385 share no factor with it.
- 4
The digits of 5385 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5385 = 3 \times 5 \times 359 \]
5385 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 2864 |
| Square | 28998225 |
| Cube | 156155441625 |
| Square root | 73.382559 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 147 |
| Scientific notation | 5.385 × |
5385 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and eighty-five |
| Binary (base 2) | 1010100001001 |
| Octal (base 8) | 12411 |
| Hexadecimal (base 16) | 1509 |
| Base 3 | 21101110 |
| As time | 5385 seconds = 1 h 29 min 45 s |
Is 5385 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 (5385 ÷ 3 = 1795) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5385 ÷ 5 = 1077) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5385 a prime number?
No. 5385 = 3 × 5 × 359, so it is divisible by 3.
What are the factors of 5385?
1, 3, 5, 15, 359, 1077, 1795, 5385.
What is 5385 in binary?
1010100001001 (hexadecimal 1509, octal 12411).
What is the square root of 5385?
About 73.3826.
Is 5385 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5385?
It is a composite number with 8 divisors.