The number 16375
16375 is a composite number with 8 divisors. Its prime factorisation is Ć 131. Divisors (8): 1, 5, 25, 125, 131, 655, 3275, 16375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16375 is composite. Its prime factorisation is
- 3
The divisors add up to 20592; without 16375 itself that is 4217, so 16375 is deficient (4217 is less than 16375). Euler's totient Ļ(16375) = 13000 numbers up to 16375 share no factor with it.
- 4
The digits of 16375 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16375 = 5^{3} \times 131 \]16375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20592 |
| Euler totient Ļ(n) | 13000 |
| Square | 268140625 |
| Cube | 4390802734375 |
| Square root | 127.964839 (= 5ā655) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6375 Ć |
16375 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and seventy-five |
| Binary (base 2) | 11111111110111 |
| Octal (base 8) | 37767 |
| Hexadecimal (base 16) | 3FF7 |
| Base 3 | 211110111 |
| As time | 16375 seconds = 4 h 32 min 55 s |
Is 16375 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 | No (remainder 1) | 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 (16375 Ć· 5 = 3275) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16375 a prime number?
No. 16375 = Ć 131, so it is divisible by 5.
What are the factors of 16375?
1, 5, 25, 125, 131, 655, 3275, 16375.
What is 16375 in binary?
11111111110111 (hexadecimal 3FF7, octal 37767).
What is the square root of 16375?
About 127.9648, exactly 5ā655.
Is 16375 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16375?
It is a composite number with 8 divisors.