The number 11448
11448 is a composite number with 32 divisors. Its prime factorisation is × × 53. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 53, 54, 72, 106 … 11448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11448: a Harshad number: divisible by its digit sum 18.
- 2
11448 is composite. Its prime factorisation is
- 3
The divisors add up to 32400; without 11448 itself that is 20952, so 11448 is abundant (20952 is more than 11448). Euler's totient φ(11448) = 3744 numbers up to 11448 share no factor with it.
- 4
The digits of 11448 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 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11448 = 2^{3} \times 3^{3} \times 53 \]11448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 32400 |
| Euler totient φ(n) | 3744 |
| Square | 131056704 |
| Cube | 1500337147392 |
| Square root | 106.995327 (= 6√318) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.1448 × |
11448 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred and forty-eight |
| Binary (base 2) | 10110010111000 |
| Octal (base 8) | 26270 |
| Hexadecimal (base 16) | 2CB8 |
| Base 3 | 120201000 |
| As time | 11448 seconds = 3 h 10 min 48 s |
Is 11448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11448 ÷ 2 = 5724) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11448 ÷ 3 = 3816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11448 ÷ 4 = 2862) | 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 (11448 ÷ 6 = 1908) | 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 (11448 ÷ 8 = 1431) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11448 ÷ 9 = 1272) | 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 (11448 ÷ 12 = 954) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11448 a prime number?
No. 11448 = × × 53, so it is divisible by 2.
What are the factors of 11448?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 53, 54, 72, 106, 108, 159, 212, 216, 318, 424, 477, 636, 954, 1272, 1431, 1908, 2862, 3816, 5724, 11448.
What is 11448 in binary?
10110010111000 (hexadecimal 2CB8, octal 26270).
What is the square root of 11448?
About 106.9953, exactly 6√318.
Is 11448 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11448?
11448 is a Harshad number: divisible by its digit sum 18.