The number 14946
14946 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 47 × 53. Divisors (16): 1, 2, 3, 6, 47, 53, 94, 106, 141, 159, 282, 318, 2491, 4982, 7473, 14946.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14946 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14946 is composite. Its prime factorisation is
- 3
The divisors add up to 31104; without 14946 itself that is 16158, so 14946 is abundant (16158 is more than 14946). Euler's totient φ(14946) = 4784 numbers up to 14946 share no factor with it.
- 4
The digits of 14946 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14946 = 2 \times 3 \times 47 \times 53 \]
14946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31104 |
| Euler totient φ(n) | 4784 |
| Square | 223382916 |
| Cube | 3338681062536 |
| Square root | 122.253834 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 102 |
| Scientific notation | 1.4946 × |
14946 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and forty-six |
| Binary (base 2) | 11101001100010 |
| Octal (base 8) | 35142 |
| Hexadecimal (base 16) | 3A62 |
| Base 3 | 202111120 |
| As time | 14946 seconds = 4 h 9 min 6 s |
Is 14946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14946 ÷ 2 = 7473) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14946 ÷ 3 = 4982) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (14946 ÷ 6 = 2491) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14946 a prime number?
No. 14946 = 2 × 3 × 47 × 53, so it is divisible by 2.
What are the factors of 14946?
1, 2, 3, 6, 47, 53, 94, 106, 141, 159, 282, 318, 2491, 4982, 7473, 14946.
What is 14946 in binary?
11101001100010 (hexadecimal 3A62, octal 35142).
What is the square root of 14946?
About 122.2538.
Is 14946 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 14946?
It is a composite number with 16 divisors.