The number 16625
16625 is a composite number with 16 divisors. Its prime factorisation is × 7 × 19. Divisors (16): 1, 5, 7, 19, 25, 35, 95, 125, 133, 175, 475, 665, 875, 2375, 3325, 16625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16625 is composite. Its prime factorisation is
- 3
The divisors add up to 24960; without 16625 itself that is 8335, so 16625 is deficient (8335 is less than 16625). Euler's totient φ(16625) = 10800 numbers up to 16625 share no factor with it.
- 4
The digits of 16625 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16625 = 5^{3} \times 7 \times 19 \]16625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24960 |
| Euler totient φ(n) | 10800 |
| Square | 276390625 |
| Cube | 4594994140625 |
| Square root | 128.937970 (= 5√665) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6625 × |
16625 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and twenty-five |
| Binary (base 2) | 100000011110001 |
| Octal (base 8) | 40361 |
| Hexadecimal (base 16) | 40F1 |
| Base 3 | 211210202 |
| As time | 16625 seconds = 4 h 37 min 5 s |
Is 16625 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 2) | 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 (16625 ÷ 5 = 3325) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16625 ÷ 7 = 2375) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16625 a prime number?
No. 16625 = × 7 × 19, so it is divisible by 5.
What are the factors of 16625?
1, 5, 7, 19, 25, 35, 95, 125, 133, 175, 475, 665, 875, 2375, 3325, 16625.
What is 16625 in binary?
100000011110001 (hexadecimal 40F1, octal 40361).
What is the square root of 16625?
About 128.9380, exactly 5√665.
Is 16625 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16625?
It is a composite number with 16 divisors.