The number 16997
16997 is a composite number with 4 divisors. Its prime factorisation is 23 × 739. Divisors (4): 1, 23, 739, 16997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16997: a semiprime: 23 × 739, the product of two primes.
- 2
16997 is composite. Its prime factorisation is
- 3
The divisors add up to 17760; without 16997 itself that is 763, so 16997 is deficient (763 is less than 16997). Euler's totient φ(16997) = 16236 numbers up to 16997 share no factor with it.
- 4
The digits of 16997 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16997 = 23 \times 739 \]
16997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17760 |
| Euler totient φ(n) | 16236 |
| Square | 288898009 |
| Cube | 4910399458973 |
| Square root | 130.372543 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6997 × |
16997 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and ninety-seven |
| Binary (base 2) | 100001001100101 |
| Octal (base 8) | 41145 |
| Hexadecimal (base 16) | 4265 |
| Base 3 | 212022112 |
| As time | 16997 seconds = 4 h 43 min 17 s |
Is 16997 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 2) | 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 5) | 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 7) | 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 16997 a prime number?
No. 16997 = 23 × 739, so it is divisible by 23.
What are the factors of 16997?
1, 23, 739, 16997.
What is 16997 in binary?
100001001100101 (hexadecimal 4265, octal 41145).
What is the square root of 16997?
About 130.3725.
Is 16997 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 16997?
16997 is a semiprime: 23 × 739, the product of two primes.