The number 16967
16967 is a composite number with 6 divisors. Its prime factorisation is Ć 47. Divisors (6): 1, 19, 47, 361, 893, 16967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16967: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16967 is composite. Its prime factorisation is
- 3
The divisors add up to 18288; without 16967 itself that is 1321, so 16967 is deficient (1321 is less than 16967). Euler's totient Ļ(16967) = 15732 numbers up to 16967 share no factor with it.
- 4
The digits of 16967 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16967 = 19^{2} \times 47 \]16967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 18288 |
| Euler totient Ļ(n) | 15732 |
| Square | 287879089 |
| Cube | 4884444503063 |
| Square root | 130.257437 (= 19ā47) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.6967 Ć |
16967 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and sixty-seven |
| Binary (base 2) | 100001001000111 |
| Octal (base 8) | 41107 |
| Hexadecimal (base 16) | 4247 |
| Base 3 | 212021102 |
| As time | 16967 seconds = 4 h 42 min 47 s |
Is 16967 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 | No (remainder 2) | 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 | No (remainder 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 16967 a prime number?
No. 16967 = Ć 47, so it is divisible by 19.
What are the factors of 16967?
1, 19, 47, 361, 893, 16967.
What is 16967 in binary?
100001001000111 (hexadecimal 4247, octal 41107).
What is the square root of 16967?
About 130.2574, exactly 19ā47.
Is 16967 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 16967?
16967 is a happy number: repeatedly adding the squares of its digits reaches 1.