The number 54080
54080 is a composite number with 42 divisors. Its prime factorisation is × 5 × . Divisors (42): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80 … 54080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54080 is composite. Its prime factorisation is
- 3
The divisors add up to 139446; without 54080 itself that is 85366, so 54080 is abundant (85366 is more than 54080). Euler's totient φ(54080) = 19968 numbers up to 54080 share no factor with it.
- 4
The digits of 54080 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54080 = 2^{6} \times 5 \times 13^{2} \]54080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 139446 |
| Euler totient φ(n) | 19968 |
| Square | 2924646400 |
| Cube | 158164877312000 |
| Square root | 232.551070 (= 104√5) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.408 × |
54080 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and eighty |
| Binary (base 2) | 1101001101000000 |
| Octal (base 8) | 151500 |
| Hexadecimal (base 16) | D340 |
| Base 3 | 2202011222 |
| As time | 54080 seconds = 15 h 1 min 20 s |
Is 54080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54080 ÷ 2 = 27040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54080 ÷ 4 = 13520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54080 ÷ 5 = 10816) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (54080 ÷ 8 = 6760) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54080 ÷ 10 = 5408) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54080 a prime number?
No. 54080 = × 5 × , so it is divisible by 2.
What are the factors of 54080?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 169, 208, 260, 320, 338, 416, 520, 676, 832, 845, 1040, 1352, 1690, 2080, 2704, 3380, 4160, 5408, 6760, 10816, 13520, 27040, 54080.
What is 54080 in binary?
1101001101000000 (hexadecimal D340, octal 151500).
What is the square root of 54080?
About 232.5511, exactly 104√5.
Is 54080 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 54080?
It is a composite number with 42 divisors.