The number 11472
11472 is a composite number with 20 divisors. Its prime factorisation is × 3 × 239. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 239, 478, 717, 956, 1434, 1912 … 11472.
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How to work it out
- 1
11472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11472 is composite. Its prime factorisation is
- 3
The divisors add up to 29760; without 11472 itself that is 18288, so 11472 is abundant (18288 is more than 11472). Euler's totient φ(11472) = 3808 numbers up to 11472 share no factor with it.
- 4
The digits of 11472 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11472 = 2^{4} \times 3 \times 239 \]11472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 29760 |
| Euler totient φ(n) | 3808 |
| Square | 131606784 |
| Cube | 1509793026048 |
| Square root | 107.107423 (= 4√717) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.1472 × |
11472 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred and seventy-two |
| Binary (base 2) | 10110011010000 |
| Octal (base 8) | 26320 |
| Hexadecimal (base 16) | 2CD0 |
| Base 3 | 120201220 |
| As time | 11472 seconds = 3 h 11 min 12 s |
Is 11472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11472 ÷ 2 = 5736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11472 ÷ 3 = 3824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11472 ÷ 4 = 2868) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11472 ÷ 6 = 1912) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (11472 ÷ 8 = 1434) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11472 ÷ 12 = 956) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11472 a prime number?
No. 11472 = × 3 × 239, so it is divisible by 2.
What are the factors of 11472?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 239, 478, 717, 956, 1434, 1912, 2868, 3824, 5736, 11472.
What is 11472 in binary?
10110011010000 (hexadecimal 2CD0, octal 26320).
What is the square root of 11472?
About 107.1074, exactly 4√717.
Is 11472 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 11472?
It is a composite number with 20 divisors.