The number 16836
16836 is a triangular number: 1 + 2 + … + 183 = 16836. Its prime factorisation is × 3 × 23 × 61. Divisors (24): 1, 2, 3, 4, 6, 12, 23, 46, 61, 69, 92, 122, 138, 183, 244, 276 … 16836.
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How to work it out
- 1
What is special about 16836: a triangular number: 1 + 2 + … + 183 = 16836.
- 2
16836 is composite. Its prime factorisation is
- 3
The divisors add up to 41664; without 16836 itself that is 24828, so 16836 is abundant (24828 is more than 16836). Euler's totient φ(16836) = 5280 numbers up to 16836 share no factor with it.
- 4
The digits of 16836 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16836 = 2^{2} \times 3 \times 23 \times 61 \]16836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 41664 |
| Euler totient φ(n) | 5280 |
| Square | 283450896 |
| Cube | 4772179285056 |
| Square root | 129.753613 (= 2√4209) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6836 × |
16836 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and thirty-six |
| Binary (base 2) | 100000111000100 |
| Octal (base 8) | 40704 |
| Hexadecimal (base 16) | 41C4 |
| Base 3 | 212002120 |
| As time | 16836 seconds = 4 h 40 min 36 s |
Is 16836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16836 ÷ 2 = 8418) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16836 ÷ 3 = 5612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16836 ÷ 4 = 4209) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16836 ÷ 6 = 2806) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16836 ÷ 12 = 1403) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16836 a prime number?
No. 16836 = × 3 × 23 × 61, so it is divisible by 2.
What are the factors of 16836?
1, 2, 3, 4, 6, 12, 23, 46, 61, 69, 92, 122, 138, 183, 244, 276, 366, 732, 1403, 2806, 4209, 5612, 8418, 16836.
What is 16836 in binary?
100000111000100 (hexadecimal 41C4, octal 40704).
What is the square root of 16836?
About 129.7536, exactly 2√4209.
Is 16836 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16836?
16836 is a triangular number: 1 + 2 + … + 183 = 16836.