The number 16835
16835 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 13 × 37. Divisors (16): 1, 5, 7, 13, 35, 37, 65, 91, 185, 259, 455, 481, 1295, 2405, 3367, 16835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16835 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16835 is composite. Its prime factorisation is
- 3
The divisors add up to 25536; without 16835 itself that is 8701, so 16835 is deficient (8701 is less than 16835). Euler's totient φ(16835) = 10368 numbers up to 16835 share no factor with it.
- 4
The digits of 16835 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16835 = 5 \times 7 \times 13 \times 37 \]
16835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25536 |
| Euler totient φ(n) | 10368 |
| Square | 283417225 |
| Cube | 4771328982875 |
| Square root | 129.749759 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6835 × |
16835 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and thirty-five |
| Binary (base 2) | 100000111000011 |
| Octal (base 8) | 40703 |
| Hexadecimal (base 16) | 41C3 |
| Base 3 | 212002112 |
| As time | 16835 seconds = 4 h 40 min 35 s |
Is 16835 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16835 ÷ 5 = 3367) | 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 (16835 ÷ 7 = 2405) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16835 a prime number?
No. 16835 = 5 × 7 × 13 × 37, so it is divisible by 5.
What are the factors of 16835?
1, 5, 7, 13, 35, 37, 65, 91, 185, 259, 455, 481, 1295, 2405, 3367, 16835.
What is 16835 in binary?
100000111000011 (hexadecimal 41C3, octal 40703).
What is the square root of 16835?
About 129.7498.
Is 16835 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16835?
It is a composite number with 16 divisors.