The number 54873
54873 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 67. Divisors (24): 1, 3, 7, 9, 13, 21, 39, 63, 67, 91, 117, 201, 273, 469, 603, 819 … 54873.
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How to work it out
- 1
54873 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54873 is composite. Its prime factorisation is
- 3
The divisors add up to 99008; without 54873 itself that is 44135, so 54873 is deficient (44135 is less than 54873). Euler's totient φ(54873) = 28512 numbers up to 54873 share no factor with it.
- 4
The digits of 54873 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54873 = 3^{2} \times 7 \times 13 \times 67 \]54873 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99008 |
| Euler totient φ(n) | 28512 |
| Square | 3011046129 |
| Cube | 165225134236617 |
| Square root | 234.249867 (= 3√6097) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.4873 × |
54873 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand eight hundred and seventy-three |
| Binary (base 2) | 1101011001011001 |
| Octal (base 8) | 153131 |
| Hexadecimal (base 16) | D659 |
| Base 3 | 2210021100 |
| As time | 54873 seconds = 15 h 14 min 33 s |
Is 54873 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54873 ÷ 3 = 18291) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54873 ÷ 7 = 7839) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54873 ÷ 9 = 6097) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54873 a prime number?
No. 54873 = × 7 × 13 × 67, so it is divisible by 3.
What are the factors of 54873?
1, 3, 7, 9, 13, 21, 39, 63, 67, 91, 117, 201, 273, 469, 603, 819, 871, 1407, 2613, 4221, 6097, 7839, 18291, 54873.
What is 54873 in binary?
1101011001011001 (hexadecimal D659, octal 153131).
What is the square root of 54873?
About 234.2499, exactly 3√6097.
Is 54873 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 54873?
It is a composite number with 24 divisors.