The number 54504
54504 is a composite number with 24 divisors. Its prime factorisation is × × 757. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 757, 1514, 2271, 3028 … 54504.
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How to work it out
- 1
What is special about 54504: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
54504 is composite. Its prime factorisation is
- 3
The divisors add up to 147810; without 54504 itself that is 93306, so 54504 is abundant (93306 is more than 54504). Euler's totient φ(54504) = 18144 numbers up to 54504 share no factor with it.
- 4
The digits of 54504 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
\[ 54504 = 2^{3} \times 3^{2} \times 757 \]54504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 147810 |
| Euler totient φ(n) | 18144 |
| Square | 2970686016 |
| Cube | 161914270616064 |
| Square root | 233.460918 (= 6√1514) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.4504 × |
54504 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand five hundred and four |
| Binary (base 2) | 1101010011101000 |
| Octal (base 8) | 152350 |
| Hexadecimal (base 16) | D4E8 |
| Base 3 | 2202202200 |
| As time | 54504 seconds = 15 h 8 min 24 s |
Is 54504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54504 ÷ 2 = 27252) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54504 ÷ 3 = 18168) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54504 ÷ 4 = 13626) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54504 ÷ 6 = 9084) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (54504 ÷ 8 = 6813) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54504 ÷ 9 = 6056) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 (54504 ÷ 12 = 4542) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54504 a prime number?
No. 54504 = × × 757, so it is divisible by 2.
What are the factors of 54504?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 757, 1514, 2271, 3028, 4542, 6056, 6813, 9084, 13626, 18168, 27252, 54504.
What is 54504 in binary?
1101010011101000 (hexadecimal D4E8, octal 152350).
What is the square root of 54504?
About 233.4609, exactly 6√1514.
Is 54504 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54504?
54504 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.