The number 19942
19942 is a composite number with 12 divisors. Its prime factorisation is 2 × × 59. Divisors (12): 1, 2, 13, 26, 59, 118, 169, 338, 767, 1534, 9971, 19942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19942 is composite. Its prime factorisation is
- 3
The divisors add up to 32940; without 19942 itself that is 12998, so 19942 is deficient (12998 is less than 19942). Euler's totient φ(19942) = 9048 numbers up to 19942 share no factor with it.
- 4
The digits of 19942 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19942 = 2 \times 13^{2} \times 59 \]19942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32940 |
| Euler totient φ(n) | 9048 |
| Square | 397683364 |
| Cube | 7930601644888 |
| Square root | 141.216146 (= 13√118) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 118 |
| Scientific notation | 1.9942 × |
19942 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand nine hundred and forty-two |
| Binary (base 2) | 100110111100110 |
| Octal (base 8) | 46746 |
| Hexadecimal (base 16) | 4DE6 |
| Base 3 | 1000100121 |
| As time | 19942 seconds = 5 h 32 min 22 s |
Is 19942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19942 ÷ 2 = 9971) | 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 | No (remainder 6) | 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 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19942 a prime number?
No. 19942 = 2 × × 59, so it is divisible by 2.
What are the factors of 19942?
1, 2, 13, 26, 59, 118, 169, 338, 767, 1534, 9971, 19942.
What is 19942 in binary?
100110111100110 (hexadecimal 4DE6, octal 46746).
What is the square root of 19942?
About 141.2161, exactly 13√118.
Is 19942 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 19942?
It is a composite number with 12 divisors.