The number 17242
17242 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 233. Divisors (8): 1, 2, 37, 74, 233, 466, 8621, 17242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17242 is composite. Its prime factorisation is
- 3
The divisors add up to 26676; without 17242 itself that is 9434, so 17242 is deficient (9434 is less than 17242). Euler's totient φ(17242) = 8352 numbers up to 17242 share no factor with it.
- 4
The digits of 17242 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17242 = 2 \times 37 \times 233 \]
17242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26676 |
| Euler totient φ(n) | 8352 |
| Square | 297286564 |
| Cube | 5125814936488 |
| Square root | 131.308796 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.7242 × |
17242 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand two hundred and forty-two |
| Binary (base 2) | 100001101011010 |
| Octal (base 8) | 41532 |
| Hexadecimal (base 16) | 435A |
| Base 3 | 212122121 |
| As time | 17242 seconds = 4 h 47 min 22 s |
Is 17242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17242 ÷ 2 = 8621) | 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 1) | 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 | 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 5) | 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 17242 a prime number?
No. 17242 = 2 × 37 × 233, so it is divisible by 2.
What are the factors of 17242?
1, 2, 37, 74, 233, 466, 8621, 17242.
What is 17242 in binary?
100001101011010 (hexadecimal 435A, octal 41532).
What is the square root of 17242?
About 131.3088.
Is 17242 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17242?
It is a composite number with 8 divisors.