The number 5424
5424 is a composite number with 20 divisors. Its prime factorisation is × 3 × 113. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904 … 5424.
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How to work it out
- 1
5424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5424 is composite. Its prime factorisation is
- 3
The divisors add up to 14136; without 5424 itself that is 8712, so 5424 is abundant (8712 is more than 5424). Euler's totient φ(5424) = 1792 numbers up to 5424 share no factor with it.
- 4
The digits of 5424 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5424 = 2^{4} \times 3 \times 113 \]5424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 14136 |
| Euler totient φ(n) | 1792 |
| Square | 29419776 |
| Cube | 159572865024 |
| Square root | 73.647811 (= 4√339) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.424 × |
5424 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and twenty-four |
| Binary (base 2) | 1010100110000 |
| Octal (base 8) | 12460 |
| Hexadecimal (base 16) | 1530 |
| Base 3 | 21102220 |
| As time | 5424 seconds = 1 h 30 min 24 s |
Is 5424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5424 ÷ 2 = 2712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5424 ÷ 3 = 1808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5424 ÷ 4 = 1356) | 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 | Yes (5424 ÷ 6 = 904) | 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 | Yes (5424 ÷ 8 = 678) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5424 ÷ 12 = 452) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5424 a prime number?
No. 5424 = × 3 × 113, so it is divisible by 2.
What are the factors of 5424?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424.
What is 5424 in binary?
1010100110000 (hexadecimal 1530, octal 12460).
What is the square root of 5424?
About 73.6478, exactly 4√339.
Is 5424 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5424?
It is a composite number with 20 divisors.