The number 42848
42848 is a composite number with 24 divisors. Its prime factorisation is × 13 × 103. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 103, 104, 206, 208, 412, 416, 824 … 42848.
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How to work it out
- 1
What is special about 42848: a Harshad number: divisible by its digit sum 26.
- 2
42848 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 42848 itself that is 48880, so 42848 is abundant (48880 is more than 42848). Euler's totient φ(42848) = 19584 numbers up to 42848 share no factor with it.
- 4
The digits of 42848 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42848 = 2^{5} \times 13 \times 103 \]42848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 19584 |
| Square | 1835951104 |
| Cube | 78666832904192 |
| Square root | 206.997585 (= 4√2678) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2848 × |
42848 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and forty-eight |
| Binary (base 2) | 1010011101100000 |
| Octal (base 8) | 123540 |
| Hexadecimal (base 16) | A760 |
| Base 3 | 2011202222 |
| As time | 42848 seconds = 11 h 54 min 8 s |
Is 42848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42848 ÷ 2 = 21424) | 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 (42848 ÷ 4 = 10712) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (42848 ÷ 8 = 5356) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 42848 a prime number?
No. 42848 = × 13 × 103, so it is divisible by 2.
What are the factors of 42848?
1, 2, 4, 8, 13, 16, 26, 32, 52, 103, 104, 206, 208, 412, 416, 824, 1339, 1648, 2678, 3296, 5356, 10712, 21424, 42848.
What is 42848 in binary?
1010011101100000 (hexadecimal A760, octal 123540).
What is the square root of 42848?
About 206.9976, exactly 4√2678.
Is 42848 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42848?
42848 is a Harshad number: divisible by its digit sum 26.