The number 16938
16938 is a composite number with 12 divisors. Its prime factorisation is 2 × × 941. Divisors (12): 1, 2, 3, 6, 9, 18, 941, 1882, 2823, 5646, 8469, 16938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16938 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16938 is composite. Its prime factorisation is
- 3
The divisors add up to 36738; without 16938 itself that is 19800, so 16938 is abundant (19800 is more than 16938). Euler's totient φ(16938) = 5640 numbers up to 16938 share no factor with it.
- 4
The digits of 16938 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 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16938 = 2 \times 3^{2} \times 941 \]16938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36738 |
| Euler totient φ(n) | 5640 |
| Square | 286895844 |
| Cube | 4859441805672 |
| Square root | 130.146072 (= 3√1882) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6938 × |
16938 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and thirty-eight |
| Binary (base 2) | 100001000101010 |
| Octal (base 8) | 41052 |
| Hexadecimal (base 16) | 422A |
| Base 3 | 212020100 |
| As time | 16938 seconds = 4 h 42 min 18 s |
Is 16938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16938 ÷ 2 = 8469) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16938 ÷ 3 = 5646) | 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 (16938 ÷ 6 = 2823) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (16938 ÷ 9 = 1882) | 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 9) | 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 16938 a prime number?
No. 16938 = 2 × × 941, so it is divisible by 2.
What are the factors of 16938?
1, 2, 3, 6, 9, 18, 941, 1882, 2823, 5646, 8469, 16938.
What is 16938 in binary?
100001000101010 (hexadecimal 422A, octal 41052).
What is the square root of 16938?
About 130.1461, exactly 3√1882.
Is 16938 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16938?
It is a composite number with 12 divisors.