The number 14924
14924 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 41. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 41, 52, 82, 91, 164, 182, 287, 364 … 14924.
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How to work it out
- 1
14924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14924 is composite. Its prime factorisation is
- 3
The divisors add up to 32928; without 14924 itself that is 18004, so 14924 is abundant (18004 is more than 14924). Euler's totient φ(14924) = 5760 numbers up to 14924 share no factor with it.
- 4
The digits of 14924 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14924 = 2^{2} \times 7 \times 13 \times 41 \]14924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 32928 |
| Euler totient φ(n) | 5760 |
| Square | 222725776 |
| Cube | 3323959481024 |
| Square root | 122.163824 (= 2√3731) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.4924 × |
14924 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and twenty-four |
| Binary (base 2) | 11101001001100 |
| Octal (base 8) | 35114 |
| Hexadecimal (base 16) | 3A4C |
| Base 3 | 202110202 |
| As time | 14924 seconds = 4 h 8 min 44 s |
Is 14924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14924 ÷ 2 = 7462) | 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 (14924 ÷ 4 = 3731) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14924 ÷ 7 = 2132) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14924 a prime number?
No. 14924 = × 7 × 13 × 41, so it is divisible by 2.
What are the factors of 14924?
1, 2, 4, 7, 13, 14, 26, 28, 41, 52, 82, 91, 164, 182, 287, 364, 533, 574, 1066, 1148, 2132, 3731, 7462, 14924.
What is 14924 in binary?
11101001001100 (hexadecimal 3A4C, octal 35114).
What is the square root of 14924?
About 122.1638, exactly 2√3731.
Is 14924 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 14924?
It is a composite number with 24 divisors.