The number 16709
16709 is a composite number with 12 divisors. Its prime factorisation is × 11 × 31. Divisors (12): 1, 7, 11, 31, 49, 77, 217, 341, 539, 1519, 2387, 16709.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16709: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16709 is composite. Its prime factorisation is
- 3
The divisors add up to 21888; without 16709 itself that is 5179, so 16709 is deficient (5179 is less than 16709). Euler's totient φ(16709) = 12600 numbers up to 16709 share no factor with it.
- 4
The digits of 16709 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 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16709 = 7^{2} \times 11 \times 31 \]16709 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21888 |
| Euler totient φ(n) | 12600 |
| Square | 279190681 |
| Cube | 4664997088829 |
| Square root | 129.263297 (= 7√341) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6709 × |
16709 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and nine |
| Binary (base 2) | 100000101000101 |
| Octal (base 8) | 40505 |
| Hexadecimal (base 16) | 4145 |
| Base 3 | 211220212 |
| As time | 16709 seconds = 4 h 38 min 29 s |
Is 16709 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 4) | 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 | Yes (16709 ÷ 7 = 2387) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16709 ÷ 11 = 1519) | 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 16709 a prime number?
No. 16709 = × 11 × 31, so it is divisible by 7.
What are the factors of 16709?
1, 7, 11, 31, 49, 77, 217, 341, 539, 1519, 2387, 16709.
What is 16709 in binary?
100000101000101 (hexadecimal 4145, octal 40505).
What is the square root of 16709?
About 129.2633, exactly 7√341.
Is 16709 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16709?
16709 is a happy number: repeatedly adding the squares of its digits reaches 1.