The number 16790
16790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 23 × 73. Divisors (16): 1, 2, 5, 10, 23, 46, 73, 115, 146, 230, 365, 730, 1679, 3358, 8395, 16790.
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How to work it out
- 1
What is special about 16790: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.
- 2
16790 is composite. Its prime factorisation is
- 3
The divisors add up to 31968; without 16790 itself that is 15178, so 16790 is deficient (15178 is less than 16790). Euler's totient φ(16790) = 6336 numbers up to 16790 share no factor with it.
- 4
The digits of 16790 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16790 = 2 \times 5 \times 23 \times 73 \]
16790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31968 |
| Euler totient φ(n) | 6336 |
| Square | 281904100 |
| Cube | 4733169839000 |
| Square root | 129.576232 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.679 × |
16790 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and ninety |
| Binary (base 2) | 100000110010110 |
| Octal (base 8) | 40626 |
| Hexadecimal (base 16) | 4196 |
| Base 3 | 212000212 |
| As time | 16790 seconds = 4 h 39 min 50 s |
Is 16790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16790 ÷ 2 = 8395) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16790 ÷ 5 = 3358) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | 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 | Yes (16790 ÷ 10 = 1679) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16790 a prime number?
No. 16790 = 2 × 5 × 23 × 73, so it is divisible by 2.
What are the factors of 16790?
1, 2, 5, 10, 23, 46, 73, 115, 146, 230, 365, 730, 1679, 3358, 8395, 16790.
What is 16790 in binary?
100000110010110 (hexadecimal 4196, octal 40626).
What is the square root of 16790?
About 129.5762.
Is 16790 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16790?
16790 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.