The number 14664
14664 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 47. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 47, 52, 78, 94, 104 … 14664.
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How to work it out
- 1
14664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14664 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 14664 itself that is 25656, so 14664 is abundant (25656 is more than 14664). Euler's totient φ(14664) = 4416 numbers up to 14664 share no factor with it.
- 4
The digits of 14664 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14664 = 2^{3} \times 3 \times 13 \times 47 \]14664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 4416 |
| Square | 215032896 |
| Cube | 3153242386944 |
| Square root | 121.095004 (= 2√3666) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.4664 × |
14664 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand six hundred and sixty-four |
| Binary (base 2) | 11100101001000 |
| Octal (base 8) | 34510 |
| Hexadecimal (base 16) | 3948 |
| Base 3 | 202010010 |
| As time | 14664 seconds = 4 h 4 min 24 s |
Is 14664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14664 ÷ 2 = 7332) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14664 ÷ 3 = 4888) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14664 ÷ 4 = 3666) | 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 | Yes (14664 ÷ 6 = 2444) | 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 | Yes (14664 ÷ 8 = 1833) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14664 ÷ 12 = 1222) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14664 a prime number?
No. 14664 = × 3 × 13 × 47, so it is divisible by 2.
What are the factors of 14664?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 47, 52, 78, 94, 104, 141, 156, 188, 282, 312, 376, 564, 611, 1128, 1222, 1833, 2444, 3666, 4888, 7332, 14664.
What is 14664 in binary?
11100101001000 (hexadecimal 3948, octal 34510).
What is the square root of 14664?
About 121.0950, exactly 2√3666.
Is 14664 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 14664?
It is a composite number with 32 divisors.