The number 11748
11748 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 89. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 89, 132, 178, 267, 356 … 11748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11748 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 11748 itself that is 18492, so 11748 is abundant (18492 is more than 11748). Euler's totient φ(11748) = 3520 numbers up to 11748 share no factor with it.
- 4
The digits of 11748 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11748 = 2^{2} \times 3 \times 11 \times 89 \]11748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 3520 |
| Square | 138015504 |
| Cube | 1621406140992 |
| Square root | 108.388191 (= 2√2937) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.1748 × |
11748 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and forty-eight |
| Binary (base 2) | 10110111100100 |
| Octal (base 8) | 26744 |
| Hexadecimal (base 16) | 2DE4 |
| Base 3 | 121010010 |
| As time | 11748 seconds = 3 h 15 min 48 s |
Is 11748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11748 ÷ 2 = 5874) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11748 ÷ 3 = 3916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11748 ÷ 4 = 2937) | 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 (11748 ÷ 6 = 1958) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (11748 ÷ 11 = 1068) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11748 ÷ 12 = 979) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11748 a prime number?
No. 11748 = × 3 × 11 × 89, so it is divisible by 2.
What are the factors of 11748?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 89, 132, 178, 267, 356, 534, 979, 1068, 1958, 2937, 3916, 5874, 11748.
What is 11748 in binary?
10110111100100 (hexadecimal 2DE4, octal 26744).
What is the square root of 11748?
About 108.3882, exactly 2√2937.
Is 11748 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 11748?
It is a composite number with 24 divisors.