The number 16789
16789 is a composite number with 4 divisors. Its prime factorisation is 103 × 163. Divisors (4): 1, 103, 163, 16789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16789: a semiprime: 103 × 163, the product of two primes.
- 2
16789 is composite. Its prime factorisation is
- 3
The divisors add up to 17056; without 16789 itself that is 267, so 16789 is deficient (267 is less than 16789). Euler's totient φ(16789) = 16524 numbers up to 16789 share no factor with it.
- 4
The digits of 16789 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16789 = 103 \times 163 \]
16789 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17056 |
| Euler totient φ(n) | 16524 |
| Square | 281870521 |
| Cube | 4732324177069 |
| Square root | 129.572374 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6789 × |
16789 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and eighty-nine |
| Binary (base 2) | 100000110010101 |
| Octal (base 8) | 40625 |
| Hexadecimal (base 16) | 4195 |
| Base 3 | 212000211 |
| As time | 16789 seconds = 4 h 39 min 49 s |
Is 16789 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 4) | 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 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 16789 a prime number?
No. 16789 = 103 × 163, so it is divisible by 103.
What are the factors of 16789?
1, 103, 163, 16789.
What is 16789 in binary?
100000110010101 (hexadecimal 4195, octal 40625).
What is the square root of 16789?
About 129.5724.
Is 16789 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 16789?
16789 is a semiprime: 103 × 163, the product of two primes.