The number 17994
17994 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2999. Divisors (8): 1, 2, 3, 6, 2999, 5998, 8997, 17994.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17994 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17994 is composite. Its prime factorisation is
- 3
The divisors add up to 36000; without 17994 itself that is 18006, so 17994 is abundant (18006 is more than 17994). Euler's totient φ(17994) = 5996 numbers up to 17994 share no factor with it.
- 4
The digits of 17994 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17994 = 2 \times 3 \times 2999 \]
17994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36000 |
| Euler totient φ(n) | 5996 |
| Square | 323784036 |
| Cube | 5826169943784 |
| Square root | 134.141716 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7994 × |
17994 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and ninety-four |
| Binary (base 2) | 100011001001010 |
| Octal (base 8) | 43112 |
| Hexadecimal (base 16) | 464A |
| Base 3 | 220200110 |
| As time | 17994 seconds = 4 h 59 min 54 s |
Is 17994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17994 ÷ 2 = 8997) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17994 ÷ 3 = 5998) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17994 ÷ 6 = 2999) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 17994 a prime number?
No. 17994 = 2 × 3 × 2999, so it is divisible by 2.
What are the factors of 17994?
1, 2, 3, 6, 2999, 5998, 8997, 17994.
What is 17994 in binary?
100011001001010 (hexadecimal 464A, octal 43112).
What is the square root of 17994?
About 134.1417.
Is 17994 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 17994?
It is a composite number with 8 divisors.