The number 42687
42687 is a composite number with 20 divisors. Its prime factorisation is × 17 × 31. Divisors (20): 1, 3, 9, 17, 27, 31, 51, 81, 93, 153, 279, 459, 527, 837, 1377, 1581 … 42687.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42687: a Harshad number: divisible by its digit sum 27.
- 2
42687 is composite. Its prime factorisation is
- 3
The divisors add up to 69696; without 42687 itself that is 27009, so 42687 is deficient (27009 is less than 42687). Euler's totient φ(42687) = 25920 numbers up to 42687 share no factor with it.
- 4
The digits of 42687 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42687 = 3^{4} \times 17 \times 31 \]42687 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 69696 |
| Euler totient φ(n) | 25920 |
| Square | 1822179969 |
| Cube | 77783396336703 |
| Square root | 206.608325 (= 9√527) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2687 × |
42687 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and eighty-seven |
| Binary (base 2) | 1010011010111111 |
| Octal (base 8) | 123277 |
| Hexadecimal (base 16) | A6BF |
| Base 3 | 2011120000 |
| As time | 42687 seconds = 11 h 51 min 27 s |
Is 42687 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42687 ÷ 3 = 14229) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42687 ÷ 9 = 4743) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42687 a prime number?
No. 42687 = × 17 × 31, so it is divisible by 3.
What are the factors of 42687?
1, 3, 9, 17, 27, 31, 51, 81, 93, 153, 279, 459, 527, 837, 1377, 1581, 2511, 4743, 14229, 42687.
What is 42687 in binary?
1010011010111111 (hexadecimal A6BF, octal 123277).
What is the square root of 42687?
About 206.6083, exactly 9√527.
Is 42687 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42687?
42687 is a Harshad number: divisible by its digit sum 27.