The number 16350
16350 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 109. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 109, 150, 218, 327, 545 … 16350.
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How to work it out
- 1
What is special about 16350: a Harshad number: divisible by its digit sum 15.
- 2
16350 is composite. Its prime factorisation is
- 3
The divisors add up to 40920; without 16350 itself that is 24570, so 16350 is abundant (24570 is more than 16350). Euler's totient φ(16350) = 4320 numbers up to 16350 share no factor with it.
- 4
The digits of 16350 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16350 = 2 \times 3 \times 5^{2} \times 109 \]16350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 40920 |
| Euler totient φ(n) | 4320 |
| Square | 267322500 |
| Cube | 4370722875000 |
| Square root | 127.867119 (= 5√654) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.635 × |
16350 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and fifty |
| Binary (base 2) | 11111111011110 |
| Octal (base 8) | 37736 |
| Hexadecimal (base 16) | 3FDE |
| Base 3 | 211102120 |
| As time | 16350 seconds = 4 h 32 min 30 s |
Is 16350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16350 ÷ 2 = 8175) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16350 ÷ 3 = 5450) | 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 (16350 ÷ 5 = 3270) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16350 ÷ 6 = 2725) | 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 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 | Yes (16350 ÷ 10 = 1635) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 16350 a prime number?
No. 16350 = 2 × 3 × × 109, so it is divisible by 2.
What are the factors of 16350?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 109, 150, 218, 327, 545, 654, 1090, 1635, 2725, 3270, 5450, 8175, 16350.
What is 16350 in binary?
11111111011110 (hexadecimal 3FDE, octal 37736).
What is the square root of 16350?
About 127.8671, exactly 5√654.
Is 16350 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16350?
16350 is a Harshad number: divisible by its digit sum 15.