The number 13248
13248 is a composite number with 42 divisors. Its prime factorisation is × × 23. Divisors (42): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48 … 13248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13248: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
13248 is composite. Its prime factorisation is
- 3
The divisors add up to 39624; without 13248 itself that is 26376, so 13248 is abundant (26376 is more than 13248). Euler's totient φ(13248) = 4224 numbers up to 13248 share no factor with it.
- 4
The digits of 13248 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13248 = 2^{6} \times 3^{2} \times 23 \]13248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 39624 |
| Euler totient φ(n) | 4224 |
| Square | 175509504 |
| Cube | 2325149908992 |
| Square root | 115.099957 (= 24√23) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3248 × |
13248 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and forty-eight |
| Binary (base 2) | 11001111000000 |
| Octal (base 8) | 31700 |
| Hexadecimal (base 16) | 33C0 |
| Base 3 | 200011200 |
| As time | 13248 seconds = 3 h 40 min 48 s |
Is 13248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13248 ÷ 2 = 6624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13248 ÷ 3 = 4416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13248 ÷ 4 = 3312) | 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 (13248 ÷ 6 = 2208) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (13248 ÷ 8 = 1656) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13248 ÷ 9 = 1472) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13248 ÷ 12 = 1104) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13248 a prime number?
No. 13248 = × × 23, so it is divisible by 2.
What are the factors of 13248?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 64, 69, 72, 92, 96, 138, 144, 184, 192, 207, 276, 288, 368, 414, 552, 576, 736, 828, 1104, 1472, 1656, 2208, 3312, 4416, 6624, 13248.
What is 13248 in binary?
11001111000000 (hexadecimal 33C0, octal 31700).
What is the square root of 13248?
About 115.1000, exactly 24√23.
Is 13248 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13248?
13248 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.