The number 14808
14808 is a composite number with 16 divisors. Its prime factorisation is × 3 × 617. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 617, 1234, 1851, 2468, 3702, 4936, 7404, 14808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14808 is composite. Its prime factorisation is
- 3
The divisors add up to 37080; without 14808 itself that is 22272, so 14808 is abundant (22272 is more than 14808). Euler's totient φ(14808) = 4928 numbers up to 14808 share no factor with it.
- 4
The digits of 14808 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14808 = 2^{3} \times 3 \times 617 \]14808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 37080 |
| Euler totient φ(n) | 4928 |
| Square | 219276864 |
| Cube | 3247051802112 |
| Square root | 121.688126 (= 2√3702) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.4808 × |
14808 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand eight hundred and eight |
| Binary (base 2) | 11100111011000 |
| Octal (base 8) | 34730 |
| Hexadecimal (base 16) | 39D8 |
| Base 3 | 202022110 |
| As time | 14808 seconds = 4 h 6 min 48 s |
Is 14808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14808 ÷ 2 = 7404) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14808 ÷ 3 = 4936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14808 ÷ 4 = 3702) | 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 | Yes (14808 ÷ 6 = 2468) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (14808 ÷ 8 = 1851) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14808 ÷ 12 = 1234) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14808 a prime number?
No. 14808 = × 3 × 617, so it is divisible by 2.
What are the factors of 14808?
1, 2, 3, 4, 6, 8, 12, 24, 617, 1234, 1851, 2468, 3702, 4936, 7404, 14808.
What is 14808 in binary?
11100111011000 (hexadecimal 39D8, octal 34730).
What is the square root of 14808?
About 121.6881, exactly 2√3702.
Is 14808 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 14808?
It is a composite number with 16 divisors.