The number 54024
54024 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2251. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2251, 4502, 6753, 9004, 13506, 18008, 27012, 54024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54024 is composite. Its prime factorisation is
- 3
The divisors add up to 135120; without 54024 itself that is 81096, so 54024 is abundant (81096 is more than 54024). Euler's totient φ(54024) = 18000 numbers up to 54024 share no factor with it.
- 4
The digits of 54024 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54024 = 2^{3} \times 3 \times 2251 \]54024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 135120 |
| Euler totient φ(n) | 18000 |
| Square | 2918592576 |
| Cube | 157674045325824 |
| Square root | 232.430635 (= 2√13506) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.4024 × |
54024 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and twenty-four |
| Binary (base 2) | 1101001100001000 |
| Octal (base 8) | 151410 |
| Hexadecimal (base 16) | D308 |
| Base 3 | 2202002220 |
| As time | 54024 seconds = 15 h 0 min 24 s |
Is 54024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54024 ÷ 2 = 27012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54024 ÷ 3 = 18008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54024 ÷ 4 = 13506) | 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 (54024 ÷ 6 = 9004) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (54024 ÷ 8 = 6753) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54024 ÷ 12 = 4502) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54024 a prime number?
No. 54024 = × 3 × 2251, so it is divisible by 2.
What are the factors of 54024?
1, 2, 3, 4, 6, 8, 12, 24, 2251, 4502, 6753, 9004, 13506, 18008, 27012, 54024.
What is 54024 in binary?
1101001100001000 (hexadecimal D308, octal 151410).
What is the square root of 54024?
About 232.4306, exactly 2√13506.
Is 54024 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 54024?
It is a composite number with 16 divisors.