The number 16073
16073 is the 1871st prime number. Its only divisors are 1 and 16073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16073: the 1871st prime number.
- 2
16073 is prime, so its only factors are 1 and 16073. It is the 1871st prime; the next prime is 16087 and the one before is 16069.
- 3
The divisors add up to 16074; without 16073 itself that is 1, so 16073 is deficient (1 is less than 16073). Euler's totient φ(16073) = 16072 numbers up to 16073 share no factor with it.
- 4
The digits of 16073 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
16073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16074 |
| Euler totient φ(n) | 16072 |
| Square | 258341329 |
| Cube | 4152320181017 |
| Square root | 126.779336 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6073 × |
16073 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and seventy-three |
| Binary (base 2) | 11111011001001 |
| Octal (base 8) | 37311 |
| Hexadecimal (base 16) | 3EC9 |
| Base 3 | 211001022 |
| As time | 16073 seconds = 4 h 27 min 53 s |
Is 16073 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 | No (remainder 3) | 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 | No (remainder 1) | 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 8) | 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 2) | 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 16073 a prime number?
Yes. 16073 is divisible only by 1 and itself.
What are the factors of 16073?
1, 16073.
What is 16073 in binary?
11111011001001 (hexadecimal 3EC9, octal 37311).
What is the square root of 16073?
About 126.7793.
Is 16073 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16073?
16073 is the 1871st prime number.