The number 19142
19142 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 563. Divisors (8): 1, 2, 17, 34, 563, 1126, 9571, 19142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19142: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
19142 is composite. Its prime factorisation is
- 3
The divisors add up to 30456; without 19142 itself that is 11314, so 19142 is deficient (11314 is less than 19142). Euler's totient φ(19142) = 8992 numbers up to 19142 share no factor with it.
- 4
The digits of 19142 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19142 = 2 \times 17 \times 563 \]
19142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30456 |
| Euler totient φ(n) | 8992 |
| Square | 366416164 |
| Cube | 7013938211288 |
| Square root | 138.354617 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 74 |
| Scientific notation | 1.9142 × |
19142 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand one hundred and forty-two |
| Binary (base 2) | 100101011000110 |
| Octal (base 8) | 45306 |
| Hexadecimal (base 16) | 4AC6 |
| Base 3 | 222020222 |
| As time | 19142 seconds = 5 h 19 min 2 s |
Is 19142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19142 ÷ 2 = 9571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | 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 8) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19142 a prime number?
No. 19142 = 2 × 17 × 563, so it is divisible by 2.
What are the factors of 19142?
1, 2, 17, 34, 563, 1126, 9571, 19142.
What is 19142 in binary?
100101011000110 (hexadecimal 4AC6, octal 45306).
What is the square root of 19142?
About 138.3546.
Is 19142 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 19142?
19142 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.