The number 17742
17742 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2957. Divisors (8): 1, 2, 3, 6, 2957, 5914, 8871, 17742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17742 is composite. Its prime factorisation is
- 3
The divisors add up to 35496; without 17742 itself that is 17754, so 17742 is abundant (17754 is more than 17742). Euler's totient φ(17742) = 5912 numbers up to 17742 share no factor with it.
- 4
The digits of 17742 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17742 = 2 \times 3 \times 2957 \]
17742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 35496 |
| Euler totient φ(n) | 5912 |
| Square | 314778564 |
| Cube | 5584801282488 |
| Square root | 133.199099 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7742 × |
17742 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand seven hundred and forty-two |
| Binary (base 2) | 100010101001110 |
| Octal (base 8) | 42516 |
| Hexadecimal (base 16) | 454E |
| Base 3 | 220100010 |
| As time | 17742 seconds = 4 h 55 min 42 s |
Is 17742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17742 ÷ 2 = 8871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17742 ÷ 3 = 5914) | 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 (17742 ÷ 6 = 2957) | 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 3) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17742 a prime number?
No. 17742 = 2 × 3 × 2957, so it is divisible by 2.
What are the factors of 17742?
1, 2, 3, 6, 2957, 5914, 8871, 17742.
What is 17742 in binary?
100010101001110 (hexadecimal 454E, octal 42516).
What is the square root of 17742?
About 133.1991.
Is 17742 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 17742?
It is a composite number with 8 divisors.