The number 16575
16575 is a composite number with 24 divisors. Its prime factorisation is 3 × × 13 × 17. Divisors (24): 1, 3, 5, 13, 15, 17, 25, 39, 51, 65, 75, 85, 195, 221, 255, 325 … 16575.
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How to work it out
- 1
16575 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16575 is composite. Its prime factorisation is
- 3
The divisors add up to 31248; without 16575 itself that is 14673, so 16575 is deficient (14673 is less than 16575). Euler's totient φ(16575) = 7680 numbers up to 16575 share no factor with it.
- 4
The digits of 16575 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16575 = 3 \times 5^{2} \times 13 \times 17 \]16575 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 31248 |
| Euler totient φ(n) | 7680 |
| Square | 274730625 |
| Cube | 4553660109375 |
| Square root | 128.743932 (= 5√663) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6575 × |
16575 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and seventy-five |
| Binary (base 2) | 100000010111111 |
| Octal (base 8) | 40277 |
| Hexadecimal (base 16) | 40BF |
| Base 3 | 211201220 |
| As time | 16575 seconds = 4 h 36 min 15 s |
Is 16575 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16575 ÷ 3 = 5525) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16575 ÷ 5 = 3315) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16575 a prime number?
No. 16575 = 3 × × 13 × 17, so it is divisible by 3.
What are the factors of 16575?
1, 3, 5, 13, 15, 17, 25, 39, 51, 65, 75, 85, 195, 221, 255, 325, 425, 663, 975, 1105, 1275, 3315, 5525, 16575.
What is 16575 in binary?
100000010111111 (hexadecimal 40BF, octal 40277).
What is the square root of 16575?
About 128.7439, exactly 5√663.
Is 16575 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16575?
It is a composite number with 24 divisors.