The number 17442
17442 is a composite number with 32 divisors. Its prime factorisation is 2 × × 17 × 19. Divisors (32): 1, 2, 3, 6, 9, 17, 18, 19, 27, 34, 38, 51, 54, 57, 102, 114 … 17442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17442: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
17442 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 17442 itself that is 25758, so 17442 is abundant (25758 is more than 17442). Euler's totient φ(17442) = 5184 numbers up to 17442 share no factor with it.
- 4
The digits of 17442 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17442 = 2 \times 3^{3} \times 17 \times 19 \]17442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 5184 |
| Square | 304223364 |
| Cube | 5306263914888 |
| Square root | 132.068164 (= 3√1938) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7442 × |
17442 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and forty-two |
| Binary (base 2) | 100010000100010 |
| Octal (base 8) | 42042 |
| Hexadecimal (base 16) | 4422 |
| Base 3 | 212221000 |
| As time | 17442 seconds = 4 h 50 min 42 s |
Is 17442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17442 ÷ 2 = 8721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17442 ÷ 3 = 5814) | 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 (17442 ÷ 6 = 2907) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (17442 ÷ 9 = 1938) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17442 a prime number?
No. 17442 = 2 × × 17 × 19, so it is divisible by 2.
What are the factors of 17442?
1, 2, 3, 6, 9, 17, 18, 19, 27, 34, 38, 51, 54, 57, 102, 114, 153, 171, 306, 323, 342, 459, 513, 646, 918, 969, 1026, 1938, 2907, 5814, 8721, 17442.
What is 17442 in binary?
100010000100010 (hexadecimal 4422, octal 42042).
What is the square root of 17442?
About 132.0682, exactly 3√1938.
Is 17442 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 17442?
17442 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.