The number 16673
16673 is the 1929th prime number. Its only divisors are 1 and 16673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16673: the 1929th prime number.
- 2
16673 is prime, so its only factors are 1 and 16673. It is the 1929th prime; the next prime is 16691 and the one before is 16661.
- 3
The divisors add up to 16674; without 16673 itself that is 1, so 16673 is deficient (1 is less than 16673). Euler's totient φ(16673) = 16672 numbers up to 16673 share no factor with it.
- 4
The digits of 16673 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
16673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16674 |
| Euler totient φ(n) | 16672 |
| Square | 277988929 |
| Cube | 4634909413217 |
| Square root | 129.123971 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6673 × |
16673 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and seventy-three |
| Binary (base 2) | 100000100100001 |
| Octal (base 8) | 40441 |
| Hexadecimal (base 16) | 4121 |
| Base 3 | 211212112 |
| As time | 16673 seconds = 4 h 37 min 53 s |
Is 16673 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 6) | 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 5) | 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 8) | 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 16673 a prime number?
Yes. 16673 is divisible only by 1 and itself.
What are the factors of 16673?
1, 16673.
What is 16673 in binary?
100000100100001 (hexadecimal 4121, octal 40441).
What is the square root of 16673?
About 129.1240.
Is 16673 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16673?
16673 is the 1929th prime number.