The number 54500
54500 is a composite number with 24 divisors. Its prime factorisation is × × 109. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 100, 109, 125, 218, 250, 436, 500, 545 … 54500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54500 is composite. Its prime factorisation is
- 3
The divisors add up to 120120; without 54500 itself that is 65620, so 54500 is abundant (65620 is more than 54500). Euler's totient φ(54500) = 21600 numbers up to 54500 share no factor with it.
- 4
The digits of 54500 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54500 = 2^{2} \times 5^{3} \times 109 \]54500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120120 |
| Euler totient φ(n) | 21600 |
| Square | 2970250000 |
| Cube | 161878625000000 |
| Square root | 233.452351 (= 10√545) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.45 × |
54500 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand five hundred |
| Binary (base 2) | 1101010011100100 |
| Octal (base 8) | 152344 |
| Hexadecimal (base 16) | D4E4 |
| Base 3 | 2202202112 |
| As time | 54500 seconds = 15 h 8 min 20 s |
Is 54500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54500 ÷ 2 = 27250) | 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 (54500 ÷ 4 = 13625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54500 ÷ 5 = 10900) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54500 ÷ 10 = 5450) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 54500 a prime number?
No. 54500 = × × 109, so it is divisible by 2.
What are the factors of 54500?
1, 2, 4, 5, 10, 20, 25, 50, 100, 109, 125, 218, 250, 436, 500, 545, 1090, 2180, 2725, 5450, 10900, 13625, 27250, 54500.
What is 54500 in binary?
1101010011100100 (hexadecimal D4E4, octal 152344).
What is the square root of 54500?
About 233.4524, exactly 10√545.
Is 54500 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 54500?
It is a composite number with 24 divisors.