The number 16849
16849 is a composite number with 8 divisors. Its prime factorisation is 7 × 29 × 83. Divisors (8): 1, 7, 29, 83, 203, 581, 2407, 16849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16849 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16849 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 16849 itself that is 3311, so 16849 is deficient (3311 is less than 16849). Euler's totient φ(16849) = 13776 numbers up to 16849 share no factor with it.
- 4
The digits of 16849 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16849 = 7 \times 29 \times 83 \]
16849 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 13776 |
| Square | 283888801 |
| Cube | 4783242408049 |
| Square root | 129.803698 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6849 × |
16849 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and forty-nine |
| Binary (base 2) | 100000111010001 |
| Octal (base 8) | 40721 |
| Hexadecimal (base 16) | 41D1 |
| Base 3 | 212010001 |
| As time | 16849 seconds = 4 h 40 min 49 s |
Is 16849 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16849 ÷ 7 = 2407) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16849 a prime number?
No. 16849 = 7 × 29 × 83, so it is divisible by 7.
What are the factors of 16849?
1, 7, 29, 83, 203, 581, 2407, 16849.
What is 16849 in binary?
100000111010001 (hexadecimal 41D1, octal 40721).
What is the square root of 16849?
About 129.8037.
Is 16849 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 16849?
It is a composite number with 8 divisors.