The number 17998
17998 is a composite number with 4 divisors. Its prime factorisation is 2 × 8999. Divisors (4): 1, 2, 8999, 17998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17998: a semiprime: 2 × 8999, the product of two primes.
- 2
17998 is composite. Its prime factorisation is
- 3
The divisors add up to 27000; without 17998 itself that is 9002, so 17998 is deficient (9002 is less than 17998). Euler's totient φ(17998) = 8998 numbers up to 17998 share no factor with it.
- 4
The digits of 17998 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17998 = 2 \times 8999 \]
17998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 27000 |
| Euler totient φ(n) | 8998 |
| Square | 323928004 |
| Cube | 5830056215992 |
| Square root | 134.156625 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.7998 × |
17998 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and ninety-eight |
| Binary (base 2) | 100011001001110 |
| Octal (base 8) | 43116 |
| Hexadecimal (base 16) | 464E |
| Base 3 | 220200121 |
| As time | 17998 seconds = 4 h 59 min 58 s |
Is 17998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17998 ÷ 2 = 8999) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17998 a prime number?
No. 17998 = 2 × 8999, so it is divisible by 2.
What are the factors of 17998?
1, 2, 8999, 17998.
What is 17998 in binary?
100011001001110 (hexadecimal 464E, octal 43116).
What is the square root of 17998?
About 134.1566.
Is 17998 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 17998?
17998 is a semiprime: 2 × 8999, the product of two primes.