The number 16993
16993 is the 1960th prime number. Its only divisors are 1 and 16993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16993: the 1960th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16993 is prime, so its only factors are 1 and 16993. It is the 1960th prime; the next prime is 17011 and the one before is 16987.
- 3
The divisors add up to 16994; without 16993 itself that is 1, so 16993 is deficient (1 is less than 16993). Euler's totient φ(16993) = 16992 numbers up to 16993 share no factor with it.
- 4
The digits of 16993 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
16993 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16994 |
| Euler totient φ(n) | 16992 |
| Square | 288762049 |
| Cube | 4906933498657 |
| Square root | 130.357202 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.6993 × |
16993 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and ninety-three |
| Binary (base 2) | 100001001100001 |
| Octal (base 8) | 41141 |
| Hexadecimal (base 16) | 4261 |
| Base 3 | 212022101 |
| As time | 16993 seconds = 4 h 43 min 13 s |
Is 16993 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 4) | 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 9) | 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 16993 a prime number?
Yes. 16993 is divisible only by 1 and itself.
What are the factors of 16993?
1, 16993.
What is 16993 in binary?
100001001100001 (hexadecimal 4261, octal 41141).
What is the square root of 16993?
About 130.3572.
Is 16993 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 16993?
16993 is the 1960th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.