The number 42896
42896 is a composite number with 20 divisors. Its prime factorisation is × 7 × 383. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 383, 766, 1532, 2681, 3064, 5362 … 42896.
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How to work it out
- 1
42896 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42896 is composite. Its prime factorisation is
- 3
The divisors add up to 95232; without 42896 itself that is 52336, so 42896 is abundant (52336 is more than 42896). Euler's totient φ(42896) = 18336 numbers up to 42896 share no factor with it.
- 4
The digits of 42896 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42896 = 2^{4} \times 7 \times 383 \]42896 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 95232 |
| Euler totient φ(n) | 18336 |
| Square | 1840066816 |
| Cube | 78931506139136 |
| Square root | 207.113495 (= 4√2681) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2896 × |
42896 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and ninety-six |
| Binary (base 2) | 1010011110010000 |
| Octal (base 8) | 123620 |
| Hexadecimal (base 16) | A790 |
| Base 3 | 2011211202 |
| As time | 42896 seconds = 11 h 54 min 56 s |
Is 42896 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42896 ÷ 2 = 21448) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42896 ÷ 4 = 10724) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42896 ÷ 7 = 6128) | 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 (42896 ÷ 8 = 5362) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42896 a prime number?
No. 42896 = × 7 × 383, so it is divisible by 2.
What are the factors of 42896?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 383, 766, 1532, 2681, 3064, 5362, 6128, 10724, 21448, 42896.
What is 42896 in binary?
1010011110010000 (hexadecimal A790, octal 123620).
What is the square root of 42896?
About 207.1135, exactly 4√2681.
Is 42896 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 42896?
It is a composite number with 20 divisors.