The number 54648
54648 is a composite number with 64 divisors. Its prime factorisation is × × 11 × 23. Divisors (64): 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 23, 24, 27, 33, 36 … 54648.
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How to work it out
- 1
What is special about 54648: a Harshad number: divisible by its digit sum 27.
- 2
54648 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 54648 itself that is 118152, so 54648 is abundant (118152 is more than 54648). Euler's totient φ(54648) = 15840 numbers up to 54648 share no factor with it.
- 4
The digits of 54648 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54648 = 2^{3} \times 3^{3} \times 11 \times 23 \]54648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 15840 |
| Square | 2986403904 |
| Cube | 163201000545792 |
| Square root | 233.769117 (= 6√1518) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.4648 × |
54648 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand six hundred and forty-eight |
| Binary (base 2) | 1101010101111000 |
| Octal (base 8) | 152570 |
| Hexadecimal (base 16) | D578 |
| Base 3 | 2202222000 |
| As time | 54648 seconds = 15 h 10 min 48 s |
Is 54648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54648 ÷ 2 = 27324) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54648 ÷ 3 = 18216) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54648 ÷ 4 = 13662) | 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 (54648 ÷ 6 = 9108) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (54648 ÷ 8 = 6831) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54648 ÷ 9 = 6072) | 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 | Yes (54648 ÷ 11 = 4968) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54648 ÷ 12 = 4554) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54648 a prime number?
No. 54648 = × × 11 × 23, so it is divisible by 2.
What are the factors of 54648?
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 23, 24, 27, 33, 36, 44, 46, 54, 66, 69, 72, 88, 92, 99, 108, 132, 138, 184, 198, 207, 216, 253, 264, 276, 297, 396, 414, 506, 552, 594, 621, 759, 792, 828, 1012, 1188, 1242, 1518, 1656, 2024, 2277, 2376, 2484, 3036, 4554, 4968, 6072, 6831, 9108, 13662, 18216, 27324, 54648.
What is 54648 in binary?
1101010101111000 (hexadecimal D578, octal 152570).
What is the square root of 54648?
About 233.7691, exactly 6√1518.
Is 54648 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 54648?
54648 is a Harshad number: divisible by its digit sum 27.