The number 16250
16250 is a composite number with 20 divisors. Its prime factorisation is 2 × × 13. Divisors (20): 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 625, 650, 1250 … 16250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16250 is composite. Its prime factorisation is
- 3
The divisors add up to 32802; without 16250 itself that is 16552, so 16250 is abundant (16552 is more than 16250). Euler's totient φ(16250) = 6000 numbers up to 16250 share no factor with it.
- 4
The digits of 16250 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16250 = 2 \times 5^{4} \times 13 \]16250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 32802 |
| Euler totient φ(n) | 6000 |
| Square | 264062500 |
| Cube | 4291015625000 |
| Square root | 127.475488 (= 25√26) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.625 × |
16250 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and fifty |
| Binary (base 2) | 11111101111010 |
| Octal (base 8) | 37572 |
| Hexadecimal (base 16) | 3F7A |
| Base 3 | 211021212 |
| As time | 16250 seconds = 4 h 30 min 50 s |
Is 16250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16250 ÷ 2 = 8125) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16250 ÷ 5 = 3250) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16250 ÷ 10 = 1625) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16250 a prime number?
No. 16250 = 2 × × 13, so it is divisible by 2.
What are the factors of 16250?
1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 625, 650, 1250, 1625, 3250, 8125, 16250.
What is 16250 in binary?
11111101111010 (hexadecimal 3F7A, octal 37572).
What is the square root of 16250?
About 127.4755, exactly 25√26.
Is 16250 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16250?
It is a composite number with 20 divisors.