The number 54880
54880 is a composite number with 48 divisors. Its prime factorisation is × 5 × . Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56 … 54880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54880 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 54880 itself that is 96320, so 54880 is abundant (96320 is more than 54880). Euler's totient φ(54880) = 18816 numbers up to 54880 share no factor with it.
- 4
The digits of 54880 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54880 = 2^{5} \times 5 \times 7^{3} \]54880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 18816 |
| Square | 3011814400 |
| Cube | 165288374272000 |
| Square root | 234.264807 (= 28√70) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.488 × |
54880 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand eight hundred and eighty |
| Binary (base 2) | 1101011001100000 |
| Octal (base 8) | 153140 |
| Hexadecimal (base 16) | D660 |
| Base 3 | 2210021121 |
| As time | 54880 seconds = 15 h 14 min 40 s |
Is 54880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54880 ÷ 2 = 27440) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54880 ÷ 4 = 13720) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54880 ÷ 5 = 10976) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54880 ÷ 7 = 7840) | 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 (54880 ÷ 8 = 6860) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54880 ÷ 10 = 5488) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54880 a prime number?
No. 54880 = × 5 × , so it is divisible by 2.
What are the factors of 54880?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 343, 392, 490, 560, 686, 784, 980, 1120, 1372, 1568, 1715, 1960, 2744, 3430, 3920, 5488, 6860, 7840, 10976, 13720, 27440, 54880.
What is 54880 in binary?
1101011001100000 (hexadecimal D660, octal 153140).
What is the square root of 54880?
About 234.2648, exactly 28√70.
Is 54880 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 54880?
It is a composite number with 48 divisors.