The number 54108
54108 is a composite number with 30 divisors. Its prime factorisation is × × 167. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 167, 324 … 54108.
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How to work it out
- 1
What is special about 54108: a Harshad number: divisible by its digit sum 18.
- 2
54108 is composite. Its prime factorisation is
- 3
The divisors add up to 142296; without 54108 itself that is 88188, so 54108 is abundant (88188 is more than 54108). Euler's totient φ(54108) = 17928 numbers up to 54108 share no factor with it.
- 4
The digits of 54108 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54108 = 2^{2} \times 3^{4} \times 167 \]54108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 142296 |
| Euler totient φ(n) | 17928 |
| Square | 2927675664 |
| Cube | 158410674827712 |
| Square root | 232.611264 (= 18√167) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.4108 × |
54108 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand one hundred and eight |
| Binary (base 2) | 1101001101011100 |
| Octal (base 8) | 151534 |
| Hexadecimal (base 16) | D35C |
| Base 3 | 2202020000 |
| As time | 54108 seconds = 15 h 1 min 48 s |
Is 54108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54108 ÷ 2 = 27054) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54108 ÷ 3 = 18036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54108 ÷ 4 = 13527) | 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 | Yes (54108 ÷ 6 = 9018) | 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 | Yes (54108 ÷ 9 = 6012) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54108 ÷ 12 = 4509) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54108 a prime number?
No. 54108 = × × 167, so it is divisible by 2.
What are the factors of 54108?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 167, 324, 334, 501, 668, 1002, 1503, 2004, 3006, 4509, 6012, 9018, 13527, 18036, 27054, 54108.
What is 54108 in binary?
1101001101011100 (hexadecimal D35C, octal 151534).
What is the square root of 54108?
About 232.6113, exactly 18√167.
Is 54108 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54108?
54108 is a Harshad number: divisible by its digit sum 18.