The number 17992
17992 is a composite number with 16 divisors. Its prime factorisation is × 13 × 173. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 173, 346, 692, 1384, 2249, 4498, 8996, 17992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17992 is composite. Its prime factorisation is
- 3
The divisors add up to 36540; without 17992 itself that is 18548, so 17992 is abundant (18548 is more than 17992). Euler's totient φ(17992) = 8256 numbers up to 17992 share no factor with it.
- 4
The digits of 17992 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17992 = 2^{3} \times 13 \times 173 \]17992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 36540 |
| Euler totient φ(n) | 8256 |
| Square | 323712064 |
| Cube | 5824227455488 |
| Square root | 134.134261 (= 2√4498) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7992 × |
17992 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and ninety-two |
| Binary (base 2) | 100011001001000 |
| Octal (base 8) | 43110 |
| Hexadecimal (base 16) | 4648 |
| Base 3 | 220200101 |
| As time | 17992 seconds = 4 h 59 min 52 s |
Is 17992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17992 ÷ 2 = 8996) | 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 | Yes (17992 ÷ 4 = 4498) | 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 2) | 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 | Yes (17992 ÷ 8 = 2249) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17992 a prime number?
No. 17992 = × 13 × 173, so it is divisible by 2.
What are the factors of 17992?
1, 2, 4, 8, 13, 26, 52, 104, 173, 346, 692, 1384, 2249, 4498, 8996, 17992.
What is 17992 in binary?
100011001001000 (hexadecimal 4648, octal 43110).
What is the square root of 17992?
About 134.1343, exactly 2√4498.
Is 17992 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 17992?
It is a composite number with 16 divisors.