The number 42742
42742 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 43 × 71. Divisors (16): 1, 2, 7, 14, 43, 71, 86, 142, 301, 497, 602, 994, 3053, 6106, 21371, 42742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42742 is composite. Its prime factorisation is
- 3
The divisors add up to 76032; without 42742 itself that is 33290, so 42742 is deficient (33290 is less than 42742). Euler's totient φ(42742) = 17640 numbers up to 42742 share no factor with it.
- 4
The digits of 42742 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42742 = 2 \times 7 \times 43 \times 71 \]
42742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76032 |
| Euler totient φ(n) | 17640 |
| Square | 1826878564 |
| Cube | 78084443582488 |
| Square root | 206.741384 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2742 × |
42742 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and forty-two |
| Binary (base 2) | 1010011011110110 |
| Octal (base 8) | 123366 |
| Hexadecimal (base 16) | A6F6 |
| Base 3 | 2011122001 |
| As time | 42742 seconds = 11 h 52 min 22 s |
Is 42742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42742 ÷ 2 = 21371) | 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 | No (remainder 2) | 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 | Yes (42742 ÷ 7 = 6106) | 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 6) | 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 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42742 a prime number?
No. 42742 = 2 × 7 × 43 × 71, so it is divisible by 2.
What are the factors of 42742?
1, 2, 7, 14, 43, 71, 86, 142, 301, 497, 602, 994, 3053, 6106, 21371, 42742.
What is 42742 in binary?
1010011011110110 (hexadecimal A6F6, octal 123366).
What is the square root of 42742?
About 206.7414.
Is 42742 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42742?
It is a composite number with 16 divisors.