The number 14248
14248 is a composite number with 16 divisors. Its prime factorisation is × 13 × 137. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 137, 274, 548, 1096, 1781, 3562, 7124, 14248.
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How to work it out
- 1
14248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14248 is composite. Its prime factorisation is
- 3
The divisors add up to 28980; without 14248 itself that is 14732, so 14248 is abundant (14732 is more than 14248). Euler's totient φ(14248) = 6528 numbers up to 14248 share no factor with it.
- 4
The digits of 14248 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14248 = 2^{3} \times 13 \times 137 \]14248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28980 |
| Euler totient φ(n) | 6528 |
| Square | 203005504 |
| Cube | 2892422420992 |
| Square root | 119.364986 (= 2√3562) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.4248 × |
14248 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand two hundred and forty-eight |
| Binary (base 2) | 11011110101000 |
| Octal (base 8) | 33650 |
| Hexadecimal (base 16) | 37A8 |
| Base 3 | 201112201 |
| As time | 14248 seconds = 3 h 57 min 28 s |
Is 14248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14248 ÷ 2 = 7124) | 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 (14248 ÷ 4 = 3562) | 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 | 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 (14248 ÷ 8 = 1781) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | 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 14248 a prime number?
No. 14248 = × 13 × 137, so it is divisible by 2.
What are the factors of 14248?
1, 2, 4, 8, 13, 26, 52, 104, 137, 274, 548, 1096, 1781, 3562, 7124, 14248.
What is 14248 in binary?
11011110101000 (hexadecimal 37A8, octal 33650).
What is the square root of 14248?
About 119.3650, exactly 2√3562.
Is 14248 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 14248?
It is a composite number with 16 divisors.