The number 54513
54513 is a composite number with 10 divisors. Its prime factorisation is × 673. Divisors (10): 1, 3, 9, 27, 81, 673, 2019, 6057, 18171, 54513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54513 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54513 is composite. Its prime factorisation is
- 3
The divisors add up to 81554; without 54513 itself that is 27041, so 54513 is deficient (27041 is less than 54513). Euler's totient φ(54513) = 36288 numbers up to 54513 share no factor with it.
- 4
The digits of 54513 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54513 = 3^{4} \times 673 \]54513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 81554 |
| Euler totient φ(n) | 36288 |
| Square | 2971667169 |
| Cube | 161994492383697 |
| Square root | 233.480192 (= 9√673) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.4513 × |
54513 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand five hundred and thirteen |
| Binary (base 2) | 1101010011110001 |
| Octal (base 8) | 152361 |
| Hexadecimal (base 16) | D4F1 |
| Base 3 | 2202210000 |
| As time | 54513 seconds = 15 h 8 min 33 s |
Is 54513 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 (54513 ÷ 3 = 18171) | 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 | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54513 ÷ 9 = 6057) | 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 8) | 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 54513 a prime number?
No. 54513 = × 673, so it is divisible by 3.
What are the factors of 54513?
1, 3, 9, 27, 81, 673, 2019, 6057, 18171, 54513.
What is 54513 in binary?
1101010011110001 (hexadecimal D4F1, octal 152361).
What is the square root of 54513?
About 233.4802, exactly 9√673.
Is 54513 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54513?
It is a composite number with 10 divisors.