The number 54800
54800 is a composite number with 30 divisors. Its prime factorisation is × × 137. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 137, 200, 274 … 54800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54800 is composite. Its prime factorisation is
- 3
The divisors add up to 132618; without 54800 itself that is 77818, so 54800 is abundant (77818 is more than 54800). Euler's totient φ(54800) = 21760 numbers up to 54800 share no factor with it.
- 4
The digits of 54800 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54800 = 2^{4} \times 5^{2} \times 137 \]54800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 132618 |
| Euler totient φ(n) | 21760 |
| Square | 3003040000 |
| Cube | 164566592000000 |
| Square root | 234.093998 (= 20√137) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.48 × |
54800 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand eight hundred |
| Binary (base 2) | 1101011000010000 |
| Octal (base 8) | 153020 |
| Hexadecimal (base 16) | D610 |
| Base 3 | 2210011122 |
| As time | 54800 seconds = 15 h 13 min 20 s |
Is 54800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54800 ÷ 2 = 27400) | 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 (54800 ÷ 4 = 13700) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54800 ÷ 5 = 10960) | 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 4) | 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 (54800 ÷ 8 = 6850) | 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 (54800 ÷ 10 = 5480) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 54800 a prime number?
No. 54800 = × × 137, so it is divisible by 2.
What are the factors of 54800?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 137, 200, 274, 400, 548, 685, 1096, 1370, 2192, 2740, 3425, 5480, 6850, 10960, 13700, 27400, 54800.
What is 54800 in binary?
1101011000010000 (hexadecimal D610, octal 153020).
What is the square root of 54800?
About 234.0940, exactly 20√137.
Is 54800 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 54800?
It is a composite number with 30 divisors.