The number 18942
18942 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 11 × 41. Divisors (32): 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 41, 42, 66, 77, 82, 123 … 18942.
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How to work it out
- 1
18942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18942 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 18942 itself that is 29442, so 18942 is abundant (29442 is more than 18942). Euler's totient φ(18942) = 4800 numbers up to 18942 share no factor with it.
- 4
The digits of 18942 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18942 = 2 \times 3 \times 7 \times 11 \times 41 \]
18942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 4800 |
| Square | 358799364 |
| Cube | 6796377552888 |
| Square root | 137.629939 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.8942 × |
18942 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand nine hundred and forty-two |
| Binary (base 2) | 100100111111110 |
| Octal (base 8) | 44776 |
| Hexadecimal (base 16) | 49FE |
| Base 3 | 221222120 |
| As time | 18942 seconds = 5 h 15 min 42 s |
Is 18942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18942 ÷ 2 = 9471) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18942 ÷ 3 = 6314) | 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 (18942 ÷ 6 = 3157) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18942 ÷ 7 = 2706) | 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 6) | 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 | Yes (18942 ÷ 11 = 1722) | 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 18942 a prime number?
No. 18942 = 2 × 3 × 7 × 11 × 41, so it is divisible by 2.
What are the factors of 18942?
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 41, 42, 66, 77, 82, 123, 154, 231, 246, 287, 451, 462, 574, 861, 902, 1353, 1722, 2706, 3157, 6314, 9471, 18942.
What is 18942 in binary?
100100111111110 (hexadecimal 49FE, octal 44776).
What is the square root of 18942?
About 137.6299.
Is 18942 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 18942?
It is a composite number with 32 divisors.