The number 16398
16398 is a composite number with 12 divisors. Its prime factorisation is 2 × × 911. Divisors (12): 1, 2, 3, 6, 9, 18, 911, 1822, 2733, 5466, 8199, 16398.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16398 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16398 is composite. Its prime factorisation is
- 3
The divisors add up to 35568; without 16398 itself that is 19170, so 16398 is abundant (19170 is more than 16398). Euler's totient φ(16398) = 5460 numbers up to 16398 share no factor with it.
- 4
The digits of 16398 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16398 = 2 \times 3^{2} \times 911 \]16398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35568 |
| Euler totient φ(n) | 5460 |
| Square | 268894404 |
| Cube | 4409330436792 |
| Square root | 128.054676 (= 3√1822) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6398 × |
16398 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and ninety-eight |
| Binary (base 2) | 100000000001110 |
| Octal (base 8) | 40016 |
| Hexadecimal (base 16) | 400E |
| Base 3 | 211111100 |
| As time | 16398 seconds = 4 h 33 min 18 s |
Is 16398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16398 ÷ 2 = 8199) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16398 ÷ 3 = 5466) | 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 (16398 ÷ 6 = 2733) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16398 ÷ 9 = 1822) | 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 8) | 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 16398 a prime number?
No. 16398 = 2 × × 911, so it is divisible by 2.
What are the factors of 16398?
1, 2, 3, 6, 9, 18, 911, 1822, 2733, 5466, 8199, 16398.
What is 16398 in binary?
100000000001110 (hexadecimal 400E, octal 40016).
What is the square root of 16398?
About 128.0547, exactly 3√1822.
Is 16398 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16398?
It is a composite number with 12 divisors.