The number 17996
17996 is a composite number with 12 divisors. Its prime factorisation is × 11 × 409. Divisors (12): 1, 2, 4, 11, 22, 44, 409, 818, 1636, 4499, 8998, 17996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17996 is composite. Its prime factorisation is
- 3
The divisors add up to 34440; without 17996 itself that is 16444, so 17996 is deficient (16444 is less than 17996). Euler's totient φ(17996) = 8160 numbers up to 17996 share no factor with it.
- 4
The digits of 17996 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17996 = 2^{2} \times 11 \times 409 \]17996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34440 |
| Euler totient φ(n) | 8160 |
| Square | 323856016 |
| Cube | 5828112863936 |
| Square root | 134.149171 (= 2√4499) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7996 × |
17996 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and ninety-six |
| Binary (base 2) | 100011001001100 |
| Octal (base 8) | 43114 |
| Hexadecimal (base 16) | 464C |
| Base 3 | 220200112 |
| As time | 17996 seconds = 4 h 59 min 56 s |
Is 17996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17996 ÷ 2 = 8998) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17996 ÷ 4 = 4499) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (17996 ÷ 11 = 1636) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17996 a prime number?
No. 17996 = × 11 × 409, so it is divisible by 2.
What are the factors of 17996?
1, 2, 4, 11, 22, 44, 409, 818, 1636, 4499, 8998, 17996.
What is 17996 in binary?
100011001001100 (hexadecimal 464C, octal 43114).
What is the square root of 17996?
About 134.1492, exactly 2√4499.
Is 17996 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 17996?
It is a composite number with 12 divisors.