The number 54048
54048 is a composite number with 24 divisors. Its prime factorisation is × 3 × 563. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 563, 1126, 1689, 2252 … 54048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54048 is composite. Its prime factorisation is
- 3
The divisors add up to 142128; without 54048 itself that is 88080, so 54048 is abundant (88080 is more than 54048). Euler's totient φ(54048) = 17984 numbers up to 54048 share no factor with it.
- 4
The digits of 54048 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54048 = 2^{5} \times 3 \times 563 \]54048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 142128 |
| Euler totient φ(n) | 17984 |
| Square | 2921186304 |
| Cube | 157884277358592 |
| Square root | 232.482257 (= 4√3378) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.4048 × |
54048 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and forty-eight |
| Binary (base 2) | 1101001100100000 |
| Octal (base 8) | 151440 |
| Hexadecimal (base 16) | D320 |
| Base 3 | 2202010210 |
| As time | 54048 seconds = 15 h 0 min 48 s |
Is 54048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54048 ÷ 2 = 27024) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54048 ÷ 3 = 18016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54048 ÷ 4 = 13512) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54048 ÷ 6 = 9008) | 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 (54048 ÷ 8 = 6756) | 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 8) | 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 | Yes (54048 ÷ 12 = 4504) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54048 a prime number?
No. 54048 = × 3 × 563, so it is divisible by 2.
What are the factors of 54048?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512, 18016, 27024, 54048.
What is 54048 in binary?
1101001100100000 (hexadecimal D320, octal 151440).
What is the square root of 54048?
About 232.4823, exactly 4√3378.
Is 54048 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54048?
It is a composite number with 24 divisors.