The number 16998
16998 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2833. Divisors (8): 1, 2, 3, 6, 2833, 5666, 8499, 16998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16998: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16998 is composite. Its prime factorisation is
- 3
The divisors add up to 34008; without 16998 itself that is 17010, so 16998 is abundant (17010 is more than 16998). Euler's totient φ(16998) = 5664 numbers up to 16998 share no factor with it.
- 4
The digits of 16998 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16998 = 2 \times 3 \times 2833 \]
16998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34008 |
| Euler totient φ(n) | 5664 |
| Square | 288932004 |
| Cube | 4911266203992 |
| Square root | 130.376378 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6998 × |
16998 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and ninety-eight |
| Binary (base 2) | 100001001100110 |
| Octal (base 8) | 41146 |
| Hexadecimal (base 16) | 4266 |
| Base 3 | 212022120 |
| As time | 16998 seconds = 4 h 43 min 18 s |
Is 16998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16998 ÷ 2 = 8499) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16998 ÷ 3 = 5666) | 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 | Yes (16998 ÷ 6 = 2833) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | 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 16998 a prime number?
No. 16998 = 2 × 3 × 2833, so it is divisible by 2.
What are the factors of 16998?
1, 2, 3, 6, 2833, 5666, 8499, 16998.
What is 16998 in binary?
100001001100110 (hexadecimal 4266, octal 41146).
What is the square root of 16998?
About 130.3764.
Is 16998 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 16998?
16998 is a happy number: repeatedly adding the squares of its digits reaches 1.