The number 5484
5484 is a composite number with 12 divisors. Its prime factorisation is × 3 × 457. Divisors (12): 1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5484 is composite. Its prime factorisation is
- 3
The divisors add up to 12824; without 5484 itself that is 7340, so 5484 is abundant (7340 is more than 5484). Euler's totient φ(5484) = 1824 numbers up to 5484 share no factor with it.
- 4
The digits of 5484 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5484 = 2^{2} \times 3 \times 457 \]5484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 12824 |
| Euler totient φ(n) | 1824 |
| Square | 30074256 |
| Cube | 164927219904 |
| Square root | 74.054034 (= 2√1371) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.484 × |
5484 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and eighty-four |
| Binary (base 2) | 1010101101100 |
| Octal (base 8) | 12554 |
| Hexadecimal (base 16) | 156C |
| Base 3 | 21112010 |
| As time | 5484 seconds = 1 h 31 min 24 s |
Is 5484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5484 ÷ 2 = 2742) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5484 ÷ 3 = 1828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5484 ÷ 4 = 1371) | 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 (5484 ÷ 6 = 914) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 4) | 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 | Yes (5484 ÷ 12 = 457) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5484 a prime number?
No. 5484 = × 3 × 457, so it is divisible by 2.
What are the factors of 5484?
1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484.
What is 5484 in binary?
1010101101100 (hexadecimal 156C, octal 12554).
What is the square root of 5484?
About 74.0540, exactly 2√1371.
Is 5484 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5484?
It is a composite number with 12 divisors.