The number 42888
42888 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1787. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1787, 3574, 5361, 7148, 10722, 14296, 21444, 42888.
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How to work it out
- 1
42888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42888 is composite. Its prime factorisation is
- 3
The divisors add up to 107280; without 42888 itself that is 64392, so 42888 is abundant (64392 is more than 42888). Euler's totient φ(42888) = 14288 numbers up to 42888 share no factor with it.
- 4
The digits of 42888 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42888 = 2^{3} \times 3 \times 1787 \]42888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107280 |
| Euler totient φ(n) | 14288 |
| Square | 1839380544 |
| Cube | 78887352771072 |
| Square root | 207.094181 (= 2√10722) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2888 × |
42888 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and eighty-eight |
| Binary (base 2) | 1010011110001000 |
| Octal (base 8) | 123610 |
| Hexadecimal (base 16) | A788 |
| Base 3 | 2011211110 |
| As time | 42888 seconds = 11 h 54 min 48 s |
Is 42888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42888 ÷ 2 = 21444) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42888 ÷ 3 = 14296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42888 ÷ 4 = 10722) | 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 (42888 ÷ 6 = 7148) | 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 (42888 ÷ 8 = 5361) | 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 (42888 ÷ 12 = 3574) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42888 a prime number?
No. 42888 = × 3 × 1787, so it is divisible by 2.
What are the factors of 42888?
1, 2, 3, 4, 6, 8, 12, 24, 1787, 3574, 5361, 7148, 10722, 14296, 21444, 42888.
What is 42888 in binary?
1010011110001000 (hexadecimal A788, octal 123610).
What is the square root of 42888?
About 207.0942, exactly 2√10722.
Is 42888 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 42888?
It is a composite number with 16 divisors.