The number 5384
5384 is a composite number with 8 divisors. Its prime factorisation is × 673. Divisors (8): 1, 2, 4, 8, 673, 1346, 2692, 5384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5384 is composite. Its prime factorisation is
- 3
The divisors add up to 10110; without 5384 itself that is 4726, so 5384 is deficient (4726 is less than 5384). Euler's totient φ(5384) = 2688 numbers up to 5384 share no factor with it.
- 4
The digits of 5384 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5384 = 2^{3} \times 673 \]5384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10110 |
| Euler totient φ(n) | 2688 |
| Square | 28987456 |
| Cube | 156068463104 |
| Square root | 73.375745 (= 2√1346) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 5.384 × |
5384 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and eighty-four |
| Binary (base 2) | 1010100001000 |
| Octal (base 8) | 12410 |
| Hexadecimal (base 16) | 1508 |
| Base 3 | 21101102 |
| As time | 5384 seconds = 1 h 29 min 44 s |
Is 5384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5384 ÷ 2 = 2692) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5384 ÷ 4 = 1346) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (5384 ÷ 8 = 673) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5384 a prime number?
No. 5384 = × 673, so it is divisible by 2.
What are the factors of 5384?
1, 2, 4, 8, 673, 1346, 2692, 5384.
What is 5384 in binary?
1010100001000 (hexadecimal 1508, octal 12410).
What is the square root of 5384?
About 73.3757, exactly 2√1346.
Is 5384 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5384?
It is a composite number with 8 divisors.