The number 14996
14996 is a composite number with 12 divisors. Its prime factorisation is × 23 × 163. Divisors (12): 1, 2, 4, 23, 46, 92, 163, 326, 652, 3749, 7498, 14996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14996 is composite. Its prime factorisation is
- 3
The divisors add up to 27552; without 14996 itself that is 12556, so 14996 is deficient (12556 is less than 14996). Euler's totient φ(14996) = 7128 numbers up to 14996 share no factor with it.
- 4
The digits of 14996 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 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14996 = 2^{2} \times 23 \times 163 \]14996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27552 |
| Euler totient φ(n) | 7128 |
| Square | 224880016 |
| Cube | 3372300719936 |
| Square root | 122.458156 (= 2√3749) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 177 |
| Scientific notation | 1.4996 × |
14996 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and ninety-six |
| Binary (base 2) | 11101010010100 |
| Octal (base 8) | 35224 |
| Hexadecimal (base 16) | 3A94 |
| Base 3 | 202120102 |
| As time | 14996 seconds = 4 h 9 min 56 s |
Is 14996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14996 ÷ 2 = 7498) | 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 | Yes (14996 ÷ 4 = 3749) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14996 a prime number?
No. 14996 = × 23 × 163, so it is divisible by 2.
What are the factors of 14996?
1, 2, 4, 23, 46, 92, 163, 326, 652, 3749, 7498, 14996.
What is 14996 in binary?
11101010010100 (hexadecimal 3A94, octal 35224).
What is the square root of 14996?
About 122.4582, exactly 2√3749.
Is 14996 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 14996?
It is a composite number with 12 divisors.