The number 42942
42942 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 421. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 421, 842, 1263, 2526, 7157, 14314, 21471, 42942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42942 is composite. Its prime factorisation is
- 3
The divisors add up to 91152; without 42942 itself that is 48210, so 42942 is abundant (48210 is more than 42942). Euler's totient φ(42942) = 13440 numbers up to 42942 share no factor with it.
- 4
The digits of 42942 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42942 = 2 \times 3 \times 17 \times 421 \]
42942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91152 |
| Euler totient φ(n) | 13440 |
| Square | 1844015364 |
| Cube | 79185707760888 |
| Square root | 207.224516 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2942 × |
42942 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and forty-two |
| Binary (base 2) | 1010011110111110 |
| Octal (base 8) | 123676 |
| Hexadecimal (base 16) | A7BE |
| Base 3 | 2011220110 |
| As time | 42942 seconds = 11 h 55 min 42 s |
Is 42942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42942 ÷ 2 = 21471) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42942 ÷ 3 = 14314) | 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 | Yes (42942 ÷ 6 = 7157) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42942 a prime number?
No. 42942 = 2 × 3 × 17 × 421, so it is divisible by 2.
What are the factors of 42942?
1, 2, 3, 6, 17, 34, 51, 102, 421, 842, 1263, 2526, 7157, 14314, 21471, 42942.
What is 42942 in binary?
1010011110111110 (hexadecimal A7BE, octal 123676).
What is the square root of 42942?
About 207.2245.
Is 42942 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42942?
It is a composite number with 16 divisors.