The number 14728
14728 is a composite number with 16 divisors. Its prime factorisation is × 7 × 263. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 263, 526, 1052, 1841, 2104, 3682, 7364, 14728.
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How to work it out
- 1
14728 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14728 is composite. Its prime factorisation is
- 3
The divisors add up to 31680; without 14728 itself that is 16952, so 14728 is abundant (16952 is more than 14728). Euler's totient φ(14728) = 6288 numbers up to 14728 share no factor with it.
- 4
The digits of 14728 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14728 = 2^{3} \times 7 \times 263 \]14728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31680 |
| Euler totient φ(n) | 6288 |
| Square | 216913984 |
| Cube | 3194709156352 |
| Square root | 121.358972 (= 2√3682) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.4728 × |
14728 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and twenty-eight |
| Binary (base 2) | 11100110001000 |
| Octal (base 8) | 34610 |
| Hexadecimal (base 16) | 3988 |
| Base 3 | 202012111 |
| As time | 14728 seconds = 4 h 5 min 28 s |
Is 14728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14728 ÷ 2 = 7364) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14728 ÷ 4 = 3682) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14728 ÷ 7 = 2104) | 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 (14728 ÷ 8 = 1841) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14728 a prime number?
No. 14728 = × 7 × 263, so it is divisible by 2.
What are the factors of 14728?
1, 2, 4, 7, 8, 14, 28, 56, 263, 526, 1052, 1841, 2104, 3682, 7364, 14728.
What is 14728 in binary?
11100110001000 (hexadecimal 3988, octal 34610).
What is the square root of 14728?
About 121.3590, exactly 2√3682.
Is 14728 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 14728?
It is a composite number with 16 divisors.