The number 16842
16842 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 401. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 401, 802, 1203, 2406, 2807, 5614, 8421, 16842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16842: a Harshad number: divisible by its digit sum 21.
- 2
16842 is composite. Its prime factorisation is
- 3
The divisors add up to 38592; without 16842 itself that is 21750, so 16842 is abundant (21750 is more than 16842). Euler's totient φ(16842) = 4800 numbers up to 16842 share no factor with it.
- 4
The digits of 16842 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16842 = 2 \times 3 \times 7 \times 401 \]
16842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38592 |
| Euler totient φ(n) | 4800 |
| Square | 283652964 |
| Cube | 4777283219688 |
| Square root | 129.776731 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6842 × |
16842 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and forty-two |
| Binary (base 2) | 100000111001010 |
| Octal (base 8) | 40712 |
| Hexadecimal (base 16) | 41CA |
| Base 3 | 212002210 |
| As time | 16842 seconds = 4 h 40 min 42 s |
Is 16842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16842 ÷ 2 = 8421) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16842 ÷ 3 = 5614) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16842 ÷ 6 = 2807) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16842 ÷ 7 = 2406) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16842 a prime number?
No. 16842 = 2 × 3 × 7 × 401, so it is divisible by 2.
What are the factors of 16842?
1, 2, 3, 6, 7, 14, 21, 42, 401, 802, 1203, 2406, 2807, 5614, 8421, 16842.
What is 16842 in binary?
100000111001010 (hexadecimal 41CA, octal 40712).
What is the square root of 16842?
About 129.7767.
Is 16842 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16842?
16842 is a Harshad number: divisible by its digit sum 21.