The number 42712
42712 is a composite number with 16 divisors. Its prime factorisation is × 19 × 281. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 152, 281, 562, 1124, 2248, 5339, 10678, 21356, 42712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42712 is composite. Its prime factorisation is
- 3
The divisors add up to 84600; without 42712 itself that is 41888, so 42712 is deficient (41888 is less than 42712). Euler's totient φ(42712) = 20160 numbers up to 42712 share no factor with it.
- 4
The digits of 42712 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42712 = 2^{3} \times 19 \times 281 \]42712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84600 |
| Euler totient φ(n) | 20160 |
| Square | 1824314944 |
| Cube | 77920139888128 |
| Square root | 206.668817 (= 2√10678) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2712 × |
42712 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and twelve |
| Binary (base 2) | 1010011011011000 |
| Octal (base 8) | 123330 |
| Hexadecimal (base 16) | A6D8 |
| Base 3 | 2011120221 |
| As time | 42712 seconds = 11 h 51 min 52 s |
Is 42712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42712 ÷ 2 = 21356) | 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 (42712 ÷ 4 = 10678) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (42712 ÷ 8 = 5339) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42712 a prime number?
No. 42712 = × 19 × 281, so it is divisible by 2.
What are the factors of 42712?
1, 2, 4, 8, 19, 38, 76, 152, 281, 562, 1124, 2248, 5339, 10678, 21356, 42712.
What is 42712 in binary?
1010011011011000 (hexadecimal A6D8, octal 123330).
What is the square root of 42712?
About 206.6688, exactly 2√10678.
Is 42712 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42712?
It is a composite number with 16 divisors.