The number 17946
17946 is a composite number with 12 divisors. Its prime factorisation is 2 × × 997. Divisors (12): 1, 2, 3, 6, 9, 18, 997, 1994, 2991, 5982, 8973, 17946.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17946 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17946 is composite. Its prime factorisation is
- 3
The divisors add up to 38922; without 17946 itself that is 20976, so 17946 is abundant (20976 is more than 17946). Euler's totient φ(17946) = 5976 numbers up to 17946 share no factor with it.
- 4
The digits of 17946 add up to 27, 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
\[ 17946 = 2 \times 3^{2} \times 997 \]17946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 38922 |
| Euler totient φ(n) | 5976 |
| Square | 322058916 |
| Cube | 5779669306536 |
| Square root | 133.962681 (= 3√1994) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7946 × |
17946 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and forty-six |
| Binary (base 2) | 100011000011010 |
| Octal (base 8) | 43032 |
| Hexadecimal (base 16) | 461A |
| Base 3 | 220121200 |
| As time | 17946 seconds = 4 h 59 min 6 s |
Is 17946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17946 ÷ 2 = 8973) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17946 ÷ 3 = 5982) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17946 ÷ 6 = 2991) | 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 (17946 ÷ 9 = 1994) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17946 a prime number?
No. 17946 = 2 × × 997, so it is divisible by 2.
What are the factors of 17946?
1, 2, 3, 6, 9, 18, 997, 1994, 2991, 5982, 8973, 17946.
What is 17946 in binary?
100011000011010 (hexadecimal 461A, octal 43032).
What is the square root of 17946?
About 133.9627, exactly 3√1994.
Is 17946 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 17946?
It is a composite number with 12 divisors.