The number 16249
16249 is the 1888th prime number. Its only divisors are 1 and 16249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16249: the 1888th prime number.
- 2
16249 is prime, so its only factors are 1 and 16249. It is the 1888th prime; the next prime is 16253 and the one before is 16231.
- 3
The divisors add up to 16250; without 16249 itself that is 1, so 16249 is deficient (1 is less than 16249). Euler's totient φ(16249) = 16248 numbers up to 16249 share no factor with it.
- 4
The digits of 16249 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 97 steps to reach 1.
16249 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16250 |
| Euler totient φ(n) | 16248 |
| Square | 264030001 |
| Cube | 4290223486249 |
| Square root | 127.471565 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6249 × |
16249 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and forty-nine |
| Binary (base 2) | 11111101111001 |
| Octal (base 8) | 37571 |
| Hexadecimal (base 16) | 3F79 |
| Base 3 | 211021211 |
| As time | 16249 seconds = 4 h 30 min 49 s |
Is 16249 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16249 a prime number?
Yes. 16249 is divisible only by 1 and itself.
What are the factors of 16249?
1, 16249.
What is 16249 in binary?
11111101111001 (hexadecimal 3F79, octal 37571).
What is the square root of 16249?
About 127.4716.
Is 16249 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16249?
16249 is the 1888th prime number.