The number 16273
16273 is the 1891st prime number. Its only divisors are 1 and 16273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16273: the 1891st prime number.
- 2
16273 is prime, so its only factors are 1 and 16273. It is the 1891st prime; the next prime is 16301 and the one before is 16267.
- 3
The divisors add up to 16274; without 16273 itself that is 1, so 16273 is deficient (1 is less than 16273). Euler's totient φ(16273) = 16272 numbers up to 16273 share no factor with it.
- 4
The digits of 16273 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
16273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16274 |
| Euler totient φ(n) | 16272 |
| Square | 264810529 |
| Cube | 4309261738417 |
| Square root | 127.565669 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6273 × |
16273 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and seventy-three |
| Binary (base 2) | 11111110010001 |
| Octal (base 8) | 37621 |
| Hexadecimal (base 16) | 3F91 |
| Base 3 | 211022201 |
| As time | 16273 seconds = 4 h 31 min 13 s |
Is 16273 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 3) | 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 5) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16273 a prime number?
Yes. 16273 is divisible only by 1 and itself.
What are the factors of 16273?
1, 16273.
What is 16273 in binary?
11111110010001 (hexadecimal 3F91, octal 37621).
What is the square root of 16273?
About 127.5657.
Is 16273 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16273?
16273 is the 1891st prime number.