The number 14748
14748 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1229. Divisors (12): 1, 2, 3, 4, 6, 12, 1229, 2458, 3687, 4916, 7374, 14748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14748 is composite. Its prime factorisation is
- 3
The divisors add up to 34440; without 14748 itself that is 19692, so 14748 is abundant (19692 is more than 14748). Euler's totient φ(14748) = 4912 numbers up to 14748 share no factor with it.
- 4
The digits of 14748 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14748 = 2^{2} \times 3 \times 1229 \]14748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34440 |
| Euler totient φ(n) | 4912 |
| Square | 217503504 |
| Cube | 3207741676992 |
| Square root | 121.441344 (= 2√3687) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.4748 × |
14748 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and forty-eight |
| Binary (base 2) | 11100110011100 |
| Octal (base 8) | 34634 |
| Hexadecimal (base 16) | 399C |
| Base 3 | 202020020 |
| As time | 14748 seconds = 4 h 5 min 48 s |
Is 14748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14748 ÷ 2 = 7374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14748 ÷ 3 = 4916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14748 ÷ 4 = 3687) | 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 (14748 ÷ 6 = 2458) | 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 | 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 8) | 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 | Yes (14748 ÷ 12 = 1229) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14748 a prime number?
No. 14748 = × 3 × 1229, so it is divisible by 2.
What are the factors of 14748?
1, 2, 3, 4, 6, 12, 1229, 2458, 3687, 4916, 7374, 14748.
What is 14748 in binary?
11100110011100 (hexadecimal 399C, octal 34634).
What is the square root of 14748?
About 121.4413, exactly 2√3687.
Is 14748 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 14748?
It is a composite number with 12 divisors.