The number 16950
16950 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 113. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 113, 150, 226, 339, 565 … 16950.
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How to work it out
- 1
16950 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16950 is composite. Its prime factorisation is
- 3
The divisors add up to 42408; without 16950 itself that is 25458, so 16950 is abundant (25458 is more than 16950). Euler's totient φ(16950) = 4480 numbers up to 16950 share no factor with it.
- 4
The digits of 16950 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 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16950 = 2 \times 3 \times 5^{2} \times 113 \]16950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 42408 |
| Euler totient φ(n) | 4480 |
| Square | 287302500 |
| Cube | 4869777375000 |
| Square root | 130.192166 (= 5√678) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.695 × |
16950 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and fifty |
| Binary (base 2) | 100001000110110 |
| Octal (base 8) | 41066 |
| Hexadecimal (base 16) | 4236 |
| Base 3 | 212020210 |
| As time | 16950 seconds = 4 h 42 min 30 s |
Is 16950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16950 ÷ 2 = 8475) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16950 ÷ 3 = 5650) | 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 | Yes (16950 ÷ 5 = 3390) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16950 ÷ 6 = 2825) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16950 ÷ 10 = 1695) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 16950 a prime number?
No. 16950 = 2 × 3 × × 113, so it is divisible by 2.
What are the factors of 16950?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 113, 150, 226, 339, 565, 678, 1130, 1695, 2825, 3390, 5650, 8475, 16950.
What is 16950 in binary?
100001000110110 (hexadecimal 4236, octal 41066).
What is the square root of 16950?
About 130.1922, exactly 5√678.
Is 16950 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16950?
It is a composite number with 24 divisors.