The number 15248
15248 is a composite number with 10 divisors. Its prime factorisation is × 953. Divisors (10): 1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15248 is composite. Its prime factorisation is
- 3
The divisors add up to 29574; without 15248 itself that is 14326, so 15248 is deficient (14326 is less than 15248). Euler's totient φ(15248) = 7616 numbers up to 15248 share no factor with it.
- 4
The digits of 15248 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15248 = 2^{4} \times 953 \]15248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 29574 |
| Euler totient φ(n) | 7616 |
| Square | 232501504 |
| Cube | 3545182932992 |
| Square root | 123.482792 (= 4√953) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.5248 × |
15248 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand two hundred and forty-eight |
| Binary (base 2) | 11101110010000 |
| Octal (base 8) | 35620 |
| Hexadecimal (base 16) | 3B90 |
| Base 3 | 202220202 |
| As time | 15248 seconds = 4 h 14 min 8 s |
Is 15248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15248 ÷ 2 = 7624) | 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 (15248 ÷ 4 = 3812) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (15248 ÷ 8 = 1906) | 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 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15248 a prime number?
No. 15248 = × 953, so it is divisible by 2.
What are the factors of 15248?
1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248.
What is 15248 in binary?
11101110010000 (hexadecimal 3B90, octal 35620).
What is the square root of 15248?
About 123.4828, exactly 4√953.
Is 15248 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 15248?
It is a composite number with 10 divisors.