The number 16338
16338 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 389. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 389, 778, 1167, 2334, 2723, 5446, 8169, 16338.
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How to work it out
- 1
What is special about 16338: a Harshad number: divisible by its digit sum 21.
- 2
16338 is composite. Its prime factorisation is
- 3
The divisors add up to 37440; without 16338 itself that is 21102, so 16338 is abundant (21102 is more than 16338). Euler's totient φ(16338) = 4656 numbers up to 16338 share no factor with it.
- 4
The digits of 16338 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16338 = 2 \times 3 \times 7 \times 389 \]
16338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 37440 |
| Euler totient φ(n) | 4656 |
| Square | 266930244 |
| Cube | 4361106326472 |
| Square root | 127.820186 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6338 × |
16338 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and thirty-eight |
| Binary (base 2) | 11111111010010 |
| Octal (base 8) | 37722 |
| Hexadecimal (base 16) | 3FD2 |
| Base 3 | 211102010 |
| As time | 16338 seconds = 4 h 32 min 18 s |
Is 16338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16338 ÷ 2 = 8169) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16338 ÷ 3 = 5446) | 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 (16338 ÷ 6 = 2723) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16338 ÷ 7 = 2334) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 16338 a prime number?
No. 16338 = 2 × 3 × 7 × 389, so it is divisible by 2.
What are the factors of 16338?
1, 2, 3, 6, 7, 14, 21, 42, 389, 778, 1167, 2334, 2723, 5446, 8169, 16338.
What is 16338 in binary?
11111111010010 (hexadecimal 3FD2, octal 37722).
What is the square root of 16338?
About 127.8202.
Is 16338 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16338?
16338 is a Harshad number: divisible by its digit sum 21.