The number 42864
42864 is a composite number with 40 divisors. Its prime factorisation is × 3 × 19 × 47. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 47, 48, 57, 76, 94 … 42864.
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How to work it out
- 1
What is special about 42864: a Harshad number: divisible by its digit sum 24.
- 2
42864 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 42864 itself that is 76176, so 42864 is abundant (76176 is more than 42864). Euler's totient φ(42864) = 13248 numbers up to 42864 share no factor with it.
- 4
The digits of 42864 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42864 = 2^{4} \times 3 \times 19 \times 47 \]42864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 13248 |
| Square | 1837322496 |
| Cube | 78754991468544 |
| Square root | 207.036229 (= 4√2679) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2864 × |
42864 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and sixty-four |
| Binary (base 2) | 1010011101110000 |
| Octal (base 8) | 123560 |
| Hexadecimal (base 16) | A770 |
| Base 3 | 2011210120 |
| As time | 42864 seconds = 11 h 54 min 24 s |
Is 42864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42864 ÷ 2 = 21432) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42864 ÷ 3 = 14288) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42864 ÷ 4 = 10716) | 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 (42864 ÷ 6 = 7144) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (42864 ÷ 8 = 5358) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42864 ÷ 12 = 3572) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42864 a prime number?
No. 42864 = × 3 × 19 × 47, so it is divisible by 2.
What are the factors of 42864?
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 47, 48, 57, 76, 94, 114, 141, 152, 188, 228, 282, 304, 376, 456, 564, 752, 893, 912, 1128, 1786, 2256, 2679, 3572, 5358, 7144, 10716, 14288, 21432, 42864.
What is 42864 in binary?
1010011101110000 (hexadecimal A770, octal 123560).
What is the square root of 42864?
About 207.0362, exactly 4√2679.
Is 42864 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42864?
42864 is a Harshad number: divisible by its digit sum 24.