The number 54480
54480 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 227. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 54480.
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How to work it out
- 1
54480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54480 is composite. Its prime factorisation is
- 3
The divisors add up to 169632; without 54480 itself that is 115152, so 54480 is abundant (115152 is more than 54480). Euler's totient φ(54480) = 14464 numbers up to 54480 share no factor with it.
- 4
The digits of 54480 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54480 = 2^{4} \times 3 \times 5 \times 227 \]54480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 169632 |
| Euler totient φ(n) | 14464 |
| Square | 2968070400 |
| Cube | 161700475392000 |
| Square root | 233.409511 (= 4√3405) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.448 × |
54480 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and eighty |
| Binary (base 2) | 1101010011010000 |
| Octal (base 8) | 152320 |
| Hexadecimal (base 16) | D4D0 |
| Base 3 | 2202201210 |
| As time | 54480 seconds = 15 h 8 min 0 s |
Is 54480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54480 ÷ 2 = 27240) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54480 ÷ 3 = 18160) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54480 ÷ 4 = 13620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54480 ÷ 5 = 10896) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54480 ÷ 6 = 9080) | 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 (54480 ÷ 8 = 6810) | 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 | Yes (54480 ÷ 10 = 5448) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54480 ÷ 12 = 4540) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54480 a prime number?
No. 54480 = × 3 × 5 × 227, so it is divisible by 2.
What are the factors of 54480?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 227, 240, 454, 681, 908, 1135, 1362, 1816, 2270, 2724, 3405, 3632, 4540, 5448, 6810, 9080, 10896, 13620, 18160, 27240, 54480.
What is 54480 in binary?
1101010011010000 (hexadecimal D4D0, octal 152320).
What is the square root of 54480?
About 233.4095, exactly 4√3405.
Is 54480 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54480?
It is a composite number with 40 divisors.