The number 42768
42768 is a composite number with 60 divisors. Its prime factorisation is × × 11. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36 … 42768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42768: a Harshad number: divisible by its digit sum 27.
- 2
42768 is composite. Its prime factorisation is
- 3
The divisors add up to 135408; without 42768 itself that is 92640, so 42768 is abundant (92640 is more than 42768). Euler's totient φ(42768) = 12960 numbers up to 42768 share no factor with it.
- 4
The digits of 42768 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42768 = 2^{4} \times 3^{5} \times 11 \]42768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 135408 |
| Euler totient φ(n) | 12960 |
| Square | 1829101824 |
| Cube | 78227026808832 |
| Square root | 206.804255 (= 36√33) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2768 × |
42768 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and sixty-eight |
| Binary (base 2) | 1010011100010000 |
| Octal (base 8) | 123420 |
| Hexadecimal (base 16) | A710 |
| Base 3 | 2011200000 |
| As time | 42768 seconds = 11 h 52 min 48 s |
Is 42768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42768 ÷ 2 = 21384) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42768 ÷ 3 = 14256) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42768 ÷ 4 = 10692) | 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 (42768 ÷ 6 = 7128) | 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 | Yes (42768 ÷ 8 = 5346) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42768 ÷ 9 = 4752) | 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 (42768 ÷ 11 = 3888) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42768 ÷ 12 = 3564) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42768 a prime number?
No. 42768 = × × 11, so it is divisible by 2.
What are the factors of 42768?
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 81, 88, 99, 108, 132, 144, 162, 176, 198, 216, 243, 264, 297, 324, 396, 432, 486, 528, 594, 648, 792, 891, 972, 1188, 1296, 1584, 1782, 1944, 2376, 2673, 3564, 3888, 4752, 5346, 7128, 10692, 14256, 21384, 42768.
What is 42768 in binary?
1010011100010000 (hexadecimal A710, octal 123420).
What is the square root of 42768?
About 206.8043, exactly 36√33.
Is 42768 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42768?
42768 is a Harshad number: divisible by its digit sum 27.