The number 14967
14967 is a composite number with 6 divisors. Its prime factorisation is × 1663. Divisors (6): 1, 3, 9, 1663, 4989, 14967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14967 is composite. Its prime factorisation is
- 3
The divisors add up to 21632; without 14967 itself that is 6665, so 14967 is deficient (6665 is less than 14967). Euler's totient φ(14967) = 9972 numbers up to 14967 share no factor with it.
- 4
The digits of 14967 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14967 = 3^{2} \times 1663 \]14967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 21632 |
| Euler totient φ(n) | 9972 |
| Square | 224011089 |
| Cube | 3352773969063 |
| Square root | 122.339691 (= 3√1663) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.4967 × |
14967 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and sixty-seven |
| Binary (base 2) | 11101001110111 |
| Octal (base 8) | 35167 |
| Hexadecimal (base 16) | 3A77 |
| Base 3 | 202112100 |
| As time | 14967 seconds = 4 h 9 min 27 s |
Is 14967 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 | Yes (14967 ÷ 3 = 4989) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14967 ÷ 9 = 1663) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14967 a prime number?
No. 14967 = × 1663, so it is divisible by 3.
What are the factors of 14967?
1, 3, 9, 1663, 4989, 14967.
What is 14967 in binary?
11101001110111 (hexadecimal 3A77, octal 35167).
What is the square root of 14967?
About 122.3397, exactly 3√1663.
Is 14967 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 14967?
It is a composite number with 6 divisors.