The number 14964
14964 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 43. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 43, 58, 86, 87, 116, 129, 172, 174, 258 … 14964.
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How to work it out
- 1
14964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14964 is composite. Its prime factorisation is
- 3
The divisors add up to 36960; without 14964 itself that is 21996, so 14964 is abundant (21996 is more than 14964). Euler's totient φ(14964) = 4704 numbers up to 14964 share no factor with it.
- 4
The digits of 14964 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14964 = 2^{2} \times 3 \times 29 \times 43 \]14964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 36960 |
| Euler totient φ(n) | 4704 |
| Square | 223921296 |
| Cube | 3350758273344 |
| Square root | 122.327429 (= 2√3741) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.4964 × |
14964 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and sixty-four |
| Binary (base 2) | 11101001110100 |
| Octal (base 8) | 35164 |
| Hexadecimal (base 16) | 3A74 |
| Base 3 | 202112020 |
| As time | 14964 seconds = 4 h 9 min 24 s |
Is 14964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14964 ÷ 2 = 7482) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14964 ÷ 3 = 4988) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14964 ÷ 4 = 3741) | 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 (14964 ÷ 6 = 2494) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14964 ÷ 12 = 1247) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14964 a prime number?
No. 14964 = × 3 × 29 × 43, so it is divisible by 2.
What are the factors of 14964?
1, 2, 3, 4, 6, 12, 29, 43, 58, 86, 87, 116, 129, 172, 174, 258, 348, 516, 1247, 2494, 3741, 4988, 7482, 14964.
What is 14964 in binary?
11101001110100 (hexadecimal 3A74, octal 35164).
What is the square root of 14964?
About 122.3274, exactly 2√3741.
Is 14964 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 14964?
It is a composite number with 24 divisors.