The number 54768
54768 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 163. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 54768.
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How to work it out
- 1
What is special about 54768: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54768 is composite. Its prime factorisation is
- 3
The divisors add up to 162688; without 54768 itself that is 107920, so 54768 is abundant (107920 is more than 54768). Euler's totient φ(54768) = 15552 numbers up to 54768 share no factor with it.
- 4
The digits of 54768 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54768 = 2^{4} \times 3 \times 7 \times 163 \]54768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 162688 |
| Euler totient φ(n) | 15552 |
| Square | 2999533824 |
| Cube | 164278468472832 |
| Square root | 234.025640 (= 4√3423) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.4768 × |
54768 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and sixty-eight |
| Binary (base 2) | 1101010111110000 |
| Octal (base 8) | 152760 |
| Hexadecimal (base 16) | D5F0 |
| Base 3 | 2210010110 |
| As time | 54768 seconds = 15 h 12 min 48 s |
Is 54768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54768 ÷ 2 = 27384) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54768 ÷ 3 = 18256) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54768 ÷ 4 = 13692) | 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 (54768 ÷ 6 = 9128) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54768 ÷ 7 = 7824) | 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 (54768 ÷ 8 = 6846) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (54768 ÷ 12 = 4564) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54768 a prime number?
No. 54768 = × 3 × 7 × 163, so it is divisible by 2.
What are the factors of 54768?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 163, 168, 326, 336, 489, 652, 978, 1141, 1304, 1956, 2282, 2608, 3423, 3912, 4564, 6846, 7824, 9128, 13692, 18256, 27384, 54768.
What is 54768 in binary?
1101010111110000 (hexadecimal D5F0, octal 152760).
What is the square root of 54768?
About 234.0256, exactly 4√3423.
Is 54768 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 54768?
54768 is a happy number: repeatedly adding the squares of its digits reaches 1.