The number 16125
16125 is a composite number with 16 divisors. Its prime factorisation is 3 × × 43. Divisors (16): 1, 3, 5, 15, 25, 43, 75, 125, 129, 215, 375, 645, 1075, 3225, 5375, 16125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16125: a Harshad number: divisible by its digit sum 15.
- 2
16125 is composite. Its prime factorisation is
- 3
The divisors add up to 27456; without 16125 itself that is 11331, so 16125 is deficient (11331 is less than 16125). Euler's totient φ(16125) = 8400 numbers up to 16125 share no factor with it.
- 4
The digits of 16125 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16125 = 3 \times 5^{3} \times 43 \]16125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27456 |
| Euler totient φ(n) | 8400 |
| Square | 260015625 |
| Cube | 4192751953125 |
| Square root | 126.984251 (= 5√645) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6125 × |
16125 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and twenty-five |
| Binary (base 2) | 11111011111101 |
| Octal (base 8) | 37375 |
| Hexadecimal (base 16) | 3EFD |
| Base 3 | 211010020 |
| As time | 16125 seconds = 4 h 28 min 45 s |
Is 16125 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 (16125 ÷ 3 = 5375) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16125 ÷ 5 = 3225) | 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 4) | 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 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16125 a prime number?
No. 16125 = 3 × × 43, so it is divisible by 3.
What are the factors of 16125?
1, 3, 5, 15, 25, 43, 75, 125, 129, 215, 375, 645, 1075, 3225, 5375, 16125.
What is 16125 in binary?
11111011111101 (hexadecimal 3EFD, octal 37375).
What is the square root of 16125?
About 126.9843, exactly 5√645.
Is 16125 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16125?
16125 is a Harshad number: divisible by its digit sum 15.