The number 42868
42868 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1531. Divisors (12): 1, 2, 4, 7, 14, 28, 1531, 3062, 6124, 10717, 21434, 42868.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42868: a Harshad number: divisible by its digit sum 28.
- 2
42868 is composite. Its prime factorisation is
- 3
The divisors add up to 85792; without 42868 itself that is 42924, so 42868 is abundant (42924 is more than 42868). Euler's totient φ(42868) = 18360 numbers up to 42868 share no factor with it.
- 4
The digits of 42868 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42868 = 2^{2} \times 7 \times 1531 \]42868 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 85792 |
| Euler totient φ(n) | 18360 |
| Square | 1837665424 |
| Cube | 78777041396032 |
| Square root | 207.045889 (= 2√10717) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2868 × |
42868 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and sixty-eight |
| Binary (base 2) | 1010011101110100 |
| Octal (base 8) | 123564 |
| Hexadecimal (base 16) | A774 |
| Base 3 | 2011210201 |
| As time | 42868 seconds = 11 h 54 min 28 s |
Is 42868 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42868 ÷ 2 = 21434) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42868 ÷ 4 = 10717) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42868 ÷ 7 = 6124) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42868 a prime number?
No. 42868 = × 7 × 1531, so it is divisible by 2.
What are the factors of 42868?
1, 2, 4, 7, 14, 28, 1531, 3062, 6124, 10717, 21434, 42868.
What is 42868 in binary?
1010011101110100 (hexadecimal A774, octal 123564).
What is the square root of 42868?
About 207.0459, exactly 2√10717.
Is 42868 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 42868?
42868 is a Harshad number: divisible by its digit sum 28.